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Finding the Third Proportional to 224,542.13 and 348,639.19

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Solution

The third proportional to 224,542.13 and 348,639.19 is: 541,320.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,542.13 : 348,639.19 = 348,639.19 : x
  2. Step 2: Convert to fraction form
    224,542.13/348,639.19 = 348,639.19/x
  3. Step 3: Cross multiply
    224,542.13x = 348,639.19 × 348,639.19
  4. Step 4: Simplify right side
    224,542.13x = 121,549,283,060.66
  5. Step 5: Solve for x
    x = 121,549,283,060.66/224,542.13
  6. Step 6: Final answer
    x = 541,320.62

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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.