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Finding the Third Proportional to 141,849 and 219,630

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Solution

The third proportional to 141,849 and 219,630 is: 340,061.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,849 : 219,630 = 219,630 : x
  2. Step 2: Convert to fraction form
    141,849/219,630 = 219,630/x
  3. Step 3: Cross multiply
    141,849x = 219,630 × 219,630
  4. Step 4: Simplify right side
    141,849x = 48,237,336,900
  5. Step 5: Solve for x
    x = 48,237,336,900/141,849
  6. Step 6: Final answer
    x = 340,061.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.