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Finding the Third Proportional to 130,847 and 207,527

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Solution

The third proportional to 130,847 and 207,527 is: 329,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,847 : 207,527 = 207,527 : x
  2. Step 2: Convert to fraction form
    130,847/207,527 = 207,527/x
  3. Step 3: Cross multiply
    130,847x = 207,527 × 207,527
  4. Step 4: Simplify right side
    130,847x = 43,067,455,729
  5. Step 5: Solve for x
    x = 43,067,455,729/130,847
  6. Step 6: Final answer
    x = 329,143.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.