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Finding the Third Proportional to 224,542.13 and 330,247.13

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Solution

The third proportional to 224,542.13 and 330,247.13 is: 485,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,542.13 : 330,247.13 = 330,247.13 : x
  2. Step 2: Convert to fraction form
    224,542.13/330,247.13 = 330,247.13/x
  3. Step 3: Cross multiply
    224,542.13x = 330,247.13 × 330,247.13
  4. Step 4: Simplify right side
    224,542.13x = 109,063,163,570.77
  5. Step 5: Solve for x
    x = 109,063,163,570.77/224,542.13
  6. Step 6: Final answer
    x = 485,713.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.