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Finding the Third Proportional to 132,727 and 287,593

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Solution

The third proportional to 132,727 and 287,593 is: 623,156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,727 : 287,593 = 287,593 : x
  2. Step 2: Convert to fraction form
    132,727/287,593 = 287,593/x
  3. Step 3: Cross multiply
    132,727x = 287,593 × 287,593
  4. Step 4: Simplify right side
    132,727x = 82,709,733,649
  5. Step 5: Solve for x
    x = 82,709,733,649/132,727
  6. Step 6: Final answer
    x = 623,156.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.