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Finding the Third Proportional to 170,806 and 272,866

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Solution

The third proportional to 170,806 and 272,866 is: 435,908.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,806 : 272,866 = 272,866 : x
  2. Step 2: Convert to fraction form
    170,806/272,866 = 272,866/x
  3. Step 3: Cross multiply
    170,806x = 272,866 × 272,866
  4. Step 4: Simplify right side
    170,806x = 74,455,853,956
  5. Step 5: Solve for x
    x = 74,455,853,956/170,806
  6. Step 6: Final answer
    x = 435,908.89

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.