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Finding the Third Proportional to 131,868 and 292,200

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Solution

The third proportional to 131,868 and 292,200 is: 647,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,868 : 292,200 = 292,200 : x
  2. Step 2: Convert to fraction form
    131,868/292,200 = 292,200/x
  3. Step 3: Cross multiply
    131,868x = 292,200 × 292,200
  4. Step 4: Simplify right side
    131,868x = 85,380,840,000
  5. Step 5: Solve for x
    x = 85,380,840,000/131,868
  6. Step 6: Final answer
    x = 647,472.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.