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Finding the Third Proportional to 158,866 and 247,677

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Solution

The third proportional to 158,866 and 247,677 is: 386,136.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,866 : 247,677 = 247,677 : x
  2. Step 2: Convert to fraction form
    158,866/247,677 = 247,677/x
  3. Step 3: Cross multiply
    158,866x = 247,677 × 247,677
  4. Step 4: Simplify right side
    158,866x = 61,343,896,329
  5. Step 5: Solve for x
    x = 61,343,896,329/158,866
  6. Step 6: Final answer
    x = 386,136.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.