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Finding the Third Proportional to 150,718.50 and 204,700.50

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Solution

The third proportional to 150,718.50 and 204,700.50 is: 278,016.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,718.50 : 204,700.50 = 204,700.50 : x
  2. Step 2: Convert to fraction form
    150,718.50/204,700.50 = 204,700.50/x
  3. Step 3: Cross multiply
    150,718.50x = 204,700.50 × 204,700.50
  4. Step 4: Simplify right side
    150,718.50x = 41,902,294,700.25
  5. Step 5: Solve for x
    x = 41,902,294,700.25/150,718.50
  6. Step 6: Final answer
    x = 278,016.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.