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Finding the Third Proportional to 130,580 and 195,376

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Solution

The third proportional to 130,580 and 195,376 is: 292,324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,580 : 195,376 = 195,376 : x
  2. Step 2: Convert to fraction form
    130,580/195,376 = 195,376/x
  3. Step 3: Cross multiply
    130,580x = 195,376 × 195,376
  4. Step 4: Simplify right side
    130,580x = 38,171,781,376
  5. Step 5: Solve for x
    x = 38,171,781,376/130,580
  6. Step 6: Final answer
    x = 292,324.87

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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.