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Finding the Third Proportional to 267,960.66 and 415,059.19

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Solution

The third proportional to 267,960.66 and 415,059.19 is: 642,908.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,960.66 : 415,059.19 = 415,059.19 : x
  2. Step 2: Convert to fraction form
    267,960.66/415,059.19 = 415,059.19/x
  3. Step 3: Cross multiply
    267,960.66x = 415,059.19 × 415,059.19
  4. Step 4: Simplify right side
    267,960.66x = 172,274,129,128.16
  5. Step 5: Solve for x
    x = 172,274,129,128.16/267,960.66
  6. Step 6: Final answer
    x = 642,908.30

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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.