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Finding the Third Proportional to 141,491 and 220,846

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Solution

The third proportional to 141,491 and 220,846 is: 344,707.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,491 : 220,846 = 220,846 : x
  2. Step 2: Convert to fraction form
    141,491/220,846 = 220,846/x
  3. Step 3: Cross multiply
    141,491x = 220,846 × 220,846
  4. Step 4: Simplify right side
    141,491x = 48,772,955,716
  5. Step 5: Solve for x
    x = 48,772,955,716/141,491
  6. Step 6: Final answer
    x = 344,707.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.