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Finding the Third Proportional to 141,898 and 211,617

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Solution

The third proportional to 141,898 and 211,617 is: 315,591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,898 : 211,617 = 211,617 : x
  2. Step 2: Convert to fraction form
    141,898/211,617 = 211,617/x
  3. Step 3: Cross multiply
    141,898x = 211,617 × 211,617
  4. Step 4: Simplify right side
    141,898x = 44,781,754,689
  5. Step 5: Solve for x
    x = 44,781,754,689/141,898
  6. Step 6: Final answer
    x = 315,591.16

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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.