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Finding the Third Proportional to 234,373.50 and 485,362.13

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Solution

The third proportional to 234,373.50 and 485,362.13 is: 1,005,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,373.50 : 485,362.13 = 485,362.13 : x
  2. Step 2: Convert to fraction form
    234,373.50/485,362.13 = 485,362.13/x
  3. Step 3: Cross multiply
    234,373.50x = 485,362.13 × 485,362.13
  4. Step 4: Simplify right side
    234,373.50x = 235,576,392,384.52
  5. Step 5: Solve for x
    x = 235,576,392,384.52/234,373.50
  6. Step 6: Final answer
    x = 1,005,132.37

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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.