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Finding the Third Proportional to 132,462 and 287,500

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Solution

The third proportional to 132,462 and 287,500 is: 623,999.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,462 : 287,500 = 287,500 : x
  2. Step 2: Convert to fraction form
    132,462/287,500 = 287,500/x
  3. Step 3: Cross multiply
    132,462x = 287,500 × 287,500
  4. Step 4: Simplify right side
    132,462x = 82,656,250,000
  5. Step 5: Solve for x
    x = 82,656,250,000/132,462
  6. Step 6: Final answer
    x = 623,999.71

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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.