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Finding the Third Proportional to 134,560 and 317,192

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Solution

The third proportional to 134,560 and 317,192 is: 747,701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,560 : 317,192 = 317,192 : x
  2. Step 2: Convert to fraction form
    134,560/317,192 = 317,192/x
  3. Step 3: Cross multiply
    134,560x = 317,192 × 317,192
  4. Step 4: Simplify right side
    134,560x = 100,610,764,864
  5. Step 5: Solve for x
    x = 100,610,764,864/134,560
  6. Step 6: Final answer
    x = 747,701.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.