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Finding the Third Proportional to 130,892 and 271,498

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Solution

The third proportional to 130,892 and 271,498 is: 563,144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,892 : 271,498 = 271,498 : x
  2. Step 2: Convert to fraction form
    130,892/271,498 = 271,498/x
  3. Step 3: Cross multiply
    130,892x = 271,498 × 271,498
  4. Step 4: Simplify right side
    130,892x = 73,711,164,004
  5. Step 5: Solve for x
    x = 73,711,164,004/130,892
  6. Step 6: Final answer
    x = 563,144.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.