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Finding the Third Proportional to 141,733.55 and 219,463.17

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Solution

The third proportional to 141,733.55 and 219,463.17 is: 339,821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,733.55 : 219,463.17 = 219,463.17 : x
  2. Step 2: Convert to fraction form
    141,733.55/219,463.17 = 219,463.17/x
  3. Step 3: Cross multiply
    141,733.55x = 219,463.17 × 219,463.17
  4. Step 4: Simplify right side
    141,733.55x = 48,164,083,809.44
  5. Step 5: Solve for x
    x = 48,164,083,809.44/141,733.55
  6. Step 6: Final answer
    x = 339,821.34

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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.