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Finding the Third Proportional to 130,500 and 207,414

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Solution

The third proportional to 130,500 and 207,414 is: 329,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,500 : 207,414 = 207,414 : x
  2. Step 2: Convert to fraction form
    130,500/207,414 = 207,414/x
  3. Step 3: Cross multiply
    130,500x = 207,414 × 207,414
  4. Step 4: Simplify right side
    130,500x = 43,020,567,396
  5. Step 5: Solve for x
    x = 43,020,567,396/130,500
  6. Step 6: Final answer
    x = 329,659.52

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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.