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Finding the Third Proportional to 129,348 and 193,225

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Solution

The third proportional to 129,348 and 193,225 is: 288,646.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,348 : 193,225 = 193,225 : x
  2. Step 2: Convert to fraction form
    129,348/193,225 = 193,225/x
  3. Step 3: Cross multiply
    129,348x = 193,225 × 193,225
  4. Step 4: Simplify right side
    129,348x = 37,335,900,625
  5. Step 5: Solve for x
    x = 37,335,900,625/129,348
  6. Step 6: Final answer
    x = 288,646.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.