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Finding the Third Proportional to 141,516 and 192,294

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Solution

The third proportional to 141,516 and 192,294 is: 261,291.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,516 : 192,294 = 192,294 : x
  2. Step 2: Convert to fraction form
    141,516/192,294 = 192,294/x
  3. Step 3: Cross multiply
    141,516x = 192,294 × 192,294
  4. Step 4: Simplify right side
    141,516x = 36,976,982,436
  5. Step 5: Solve for x
    x = 36,976,982,436/141,516
  6. Step 6: Final answer
    x = 261,291.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.