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Finding the Third Proportional to 219,178.13 and 329,410.13

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Solution

The third proportional to 219,178.13 and 329,410.13 is: 495,081.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,178.13 : 329,410.13 = 329,410.13 : x
  2. Step 2: Convert to fraction form
    219,178.13/329,410.13 = 329,410.13/x
  3. Step 3: Cross multiply
    219,178.13x = 329,410.13 × 329,410.13
  4. Step 4: Simplify right side
    219,178.13x = 108,511,030,452.52
  5. Step 5: Solve for x
    x = 108,511,030,452.52/219,178.13
  6. Step 6: Final answer
    x = 495,081.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.