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Finding the Third Proportional to 130,632 and 195,441

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Solution

The third proportional to 130,632 and 195,441 is: 292,402.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,632 : 195,441 = 195,441 : x
  2. Step 2: Convert to fraction form
    130,632/195,441 = 195,441/x
  3. Step 3: Cross multiply
    130,632x = 195,441 × 195,441
  4. Step 4: Simplify right side
    130,632x = 38,197,184,481
  5. Step 5: Solve for x
    x = 38,197,184,481/130,632
  6. Step 6: Final answer
    x = 292,402.97

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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.