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Finding the Third Proportional to 172,764 and 266,534

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Solution

The third proportional to 172,764 and 266,534 is: 411,198.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,764 : 266,534 = 266,534 : x
  2. Step 2: Convert to fraction form
    172,764/266,534 = 266,534/x
  3. Step 3: Cross multiply
    172,764x = 266,534 × 266,534
  4. Step 4: Simplify right side
    172,764x = 71,040,373,156
  5. Step 5: Solve for x
    x = 71,040,373,156/172,764
  6. Step 6: Final answer
    x = 411,198.94

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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.