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Finding the Third Proportional to 172,536.75 and 266,500.13

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Solution

The third proportional to 172,536.75 and 266,500.13 is: 411,635.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,536.75 : 266,500.13 = 266,500.13 : x
  2. Step 2: Convert to fraction form
    172,536.75/266,500.13 = 266,500.13/x
  3. Step 3: Cross multiply
    172,536.75x = 266,500.13 × 266,500.13
  4. Step 4: Simplify right side
    172,536.75x = 71,022,316,625.02
  5. Step 5: Solve for x
    x = 71,022,316,625.02/172,536.75
  6. Step 6: Final answer
    x = 411,635.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.