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Finding the Third Proportional to 130,644 and 195,468

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Solution

The third proportional to 130,644 and 195,468 is: 292,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,644 : 195,468 = 195,468 : x
  2. Step 2: Convert to fraction form
    130,644/195,468 = 195,468/x
  3. Step 3: Cross multiply
    130,644x = 195,468 × 195,468
  4. Step 4: Simplify right side
    130,644x = 38,207,739,024
  5. Step 5: Solve for x
    x = 38,207,739,024/130,644
  6. Step 6: Final answer
    x = 292,456.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.