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Finding the Third Proportional to 219,057 and 329,558

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Solution

The third proportional to 219,057 and 329,558 is: 495,800.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,057 : 329,558 = 329,558 : x
  2. Step 2: Convert to fraction form
    219,057/329,558 = 329,558/x
  3. Step 3: Cross multiply
    219,057x = 329,558 × 329,558
  4. Step 4: Simplify right side
    219,057x = 108,608,475,364
  5. Step 5: Solve for x
    x = 108,608,475,364/219,057
  6. Step 6: Final answer
    x = 495,800.07

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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.