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Finding the Third Proportional to 131,900 and 292,264

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Solution

The third proportional to 131,900 and 292,264 is: 647,598.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,900 : 292,264 = 292,264 : x
  2. Step 2: Convert to fraction form
    131,900/292,264 = 292,264/x
  3. Step 3: Cross multiply
    131,900x = 292,264 × 292,264
  4. Step 4: Simplify right side
    131,900x = 85,418,245,696
  5. Step 5: Solve for x
    x = 85,418,245,696/131,900
  6. Step 6: Final answer
    x = 647,598.53

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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.