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Finding the Third Proportional to 127,350 and 196,371

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Solution

The third proportional to 127,350 and 196,371 is: 302,799.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,350 : 196,371 = 196,371 : x
  2. Step 2: Convert to fraction form
    127,350/196,371 = 196,371/x
  3. Step 3: Cross multiply
    127,350x = 196,371 × 196,371
  4. Step 4: Simplify right side
    127,350x = 38,561,569,641
  5. Step 5: Solve for x
    x = 38,561,569,641/127,350
  6. Step 6: Final answer
    x = 302,799.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.