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Finding the Third Proportional to 202,502.53 and 261,312.33

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Solution

The third proportional to 202,502.53 and 261,312.33 is: 337,201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,502.53 : 261,312.33 = 261,312.33 : x
  2. Step 2: Convert to fraction form
    202,502.53/261,312.33 = 261,312.33/x
  3. Step 3: Cross multiply
    202,502.53x = 261,312.33 × 261,312.33
  4. Step 4: Simplify right side
    202,502.53x = 68,284,132,830.11
  5. Step 5: Solve for x
    x = 68,284,132,830.11/202,502.53
  6. Step 6: Final answer
    x = 337,201.38

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.