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Finding the Third Proportional to 141,724.69 and 219,763.13

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Solution

The third proportional to 141,724.69 and 219,763.13 is: 340,772.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,724.69 : 219,763.13 = 219,763.13 : x
  2. Step 2: Convert to fraction form
    141,724.69/219,763.13 = 219,763.13/x
  3. Step 3: Cross multiply
    141,724.69x = 219,763.13 × 219,763.13
  4. Step 4: Simplify right side
    141,724.69x = 48,295,831,109.77
  5. Step 5: Solve for x
    x = 48,295,831,109.77/141,724.69
  6. Step 6: Final answer
    x = 340,772.18

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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.