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Finding the Third Proportional to 141,329 and 198,070

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Solution

The third proportional to 141,329 and 198,070 is: 277,591.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,329 : 198,070 = 198,070 : x
  2. Step 2: Convert to fraction form
    141,329/198,070 = 198,070/x
  3. Step 3: Cross multiply
    141,329x = 198,070 × 198,070
  4. Step 4: Simplify right side
    141,329x = 39,231,724,900
  5. Step 5: Solve for x
    x = 39,231,724,900/141,329
  6. Step 6: Final answer
    x = 277,591.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.