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Finding the Third Proportional to 132,192 and 257,742

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Solution

The third proportional to 132,192 and 257,742 is: 502,533.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,192 : 257,742 = 257,742 : x
  2. Step 2: Convert to fraction form
    132,192/257,742 = 257,742/x
  3. Step 3: Cross multiply
    132,192x = 257,742 × 257,742
  4. Step 4: Simplify right side
    132,192x = 66,430,938,564
  5. Step 5: Solve for x
    x = 66,430,938,564/132,192
  6. Step 6: Final answer
    x = 502,533.73

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.