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Finding the Third Proportional to 130,624 and 195,429

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Solution

The third proportional to 130,624 and 195,429 is: 292,384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,624 : 195,429 = 195,429 : x
  2. Step 2: Convert to fraction form
    130,624/195,429 = 195,429/x
  3. Step 3: Cross multiply
    130,624x = 195,429 × 195,429
  4. Step 4: Simplify right side
    130,624x = 38,192,494,041
  5. Step 5: Solve for x
    x = 38,192,494,041/130,624
  6. Step 6: Final answer
    x = 292,384.97

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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.