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Finding the Third Proportional to 132,352 and 292,352

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Solution

The third proportional to 132,352 and 292,352 is: 645,775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,352 : 292,352 = 292,352 : x
  2. Step 2: Convert to fraction form
    132,352/292,352 = 292,352/x
  3. Step 3: Cross multiply
    132,352x = 292,352 × 292,352
  4. Step 4: Simplify right side
    132,352x = 85,469,691,904
  5. Step 5: Solve for x
    x = 85,469,691,904/132,352
  6. Step 6: Final answer
    x = 645,775.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.