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Finding the Third Proportional to 267,153.19 and 415,150.31

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Solution

The third proportional to 267,153.19 and 415,150.31 is: 645,134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,153.19 : 415,150.31 = 415,150.31 : x
  2. Step 2: Convert to fraction form
    267,153.19/415,150.31 = 415,150.31/x
  3. Step 3: Cross multiply
    267,153.19x = 415,150.31 × 415,150.31
  4. Step 4: Simplify right side
    267,153.19x = 172,349,781,968.85
  5. Step 5: Solve for x
    x = 172,349,781,968.85/267,153.19
  6. Step 6: Final answer
    x = 645,134.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.