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Finding the Third Proportional to 261,123.75 and 352,318.13

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Solution

The third proportional to 261,123.75 and 352,318.13 is: 475,361.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,123.75 : 352,318.13 = 352,318.13 : x
  2. Step 2: Convert to fraction form
    261,123.75/352,318.13 = 352,318.13/x
  3. Step 3: Cross multiply
    261,123.75x = 352,318.13 × 352,318.13
  4. Step 4: Simplify right side
    261,123.75x = 124,128,061,203.52
  5. Step 5: Solve for x
    x = 124,128,061,203.52/261,123.75
  6. Step 6: Final answer
    x = 475,361.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.