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Finding the Third Proportional to 234,382.50 and 485,381.25

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Solution

The third proportional to 234,382.50 and 485,381.25 is: 1,005,172.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,382.50 : 485,381.25 = 485,381.25 : x
  2. Step 2: Convert to fraction form
    234,382.50/485,381.25 = 485,381.25/x
  3. Step 3: Cross multiply
    234,382.50x = 485,381.25 × 485,381.25
  4. Step 4: Simplify right side
    234,382.50x = 235,594,957,851.56
  5. Step 5: Solve for x
    x = 235,594,957,851.56/234,382.50
  6. Step 6: Final answer
    x = 1,005,172.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.