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Finding the Third Proportional to 130,764 and 279,510

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Solution

The third proportional to 130,764 and 279,510 is: 597,456.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,764 : 279,510 = 279,510 : x
  2. Step 2: Convert to fraction form
    130,764/279,510 = 279,510/x
  3. Step 3: Cross multiply
    130,764x = 279,510 × 279,510
  4. Step 4: Simplify right side
    130,764x = 78,125,840,100
  5. Step 5: Solve for x
    x = 78,125,840,100/130,764
  6. Step 6: Final answer
    x = 597,456.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.