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Finding the Third Proportional to 219,053 and 329,552

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Solution

The third proportional to 219,053 and 329,552 is: 495,791.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,053 : 329,552 = 329,552 : x
  2. Step 2: Convert to fraction form
    219,053/329,552 = 329,552/x
  3. Step 3: Cross multiply
    219,053x = 329,552 × 329,552
  4. Step 4: Simplify right side
    219,053x = 108,604,520,704
  5. Step 5: Solve for x
    x = 108,604,520,704/219,053
  6. Step 6: Final answer
    x = 495,791.07

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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.