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Finding the Third Proportional to 172,562 and 270,748

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Solution

The third proportional to 172,562 and 270,748 is: 424,800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,562 : 270,748 = 270,748 : x
  2. Step 2: Convert to fraction form
    172,562/270,748 = 270,748/x
  3. Step 3: Cross multiply
    172,562x = 270,748 × 270,748
  4. Step 4: Simplify right side
    172,562x = 73,304,479,504
  5. Step 5: Solve for x
    x = 73,304,479,504/172,562
  6. Step 6: Final answer
    x = 424,800.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.