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Finding the Third Proportional to 172,446 and 266,053

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Solution

The third proportional to 172,446 and 266,053 is: 410,471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,446 : 266,053 = 266,053 : x
  2. Step 2: Convert to fraction form
    172,446/266,053 = 266,053/x
  3. Step 3: Cross multiply
    172,446x = 266,053 × 266,053
  4. Step 4: Simplify right side
    172,446x = 70,784,198,809
  5. Step 5: Solve for x
    x = 70,784,198,809/172,446
  6. Step 6: Final answer
    x = 410,471.68

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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.