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Finding the Third Proportional to 130,684 and 207,150

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Solution

The third proportional to 130,684 and 207,150 is: 328,357.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,684 : 207,150 = 207,150 : x
  2. Step 2: Convert to fraction form
    130,684/207,150 = 207,150/x
  3. Step 3: Cross multiply
    130,684x = 207,150 × 207,150
  4. Step 4: Simplify right side
    130,684x = 42,911,122,500
  5. Step 5: Solve for x
    x = 42,911,122,500/130,684
  6. Step 6: Final answer
    x = 328,357.89

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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.