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Finding the Third Proportional to 219,052 and 329,550

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Solution

The third proportional to 219,052 and 329,550 is: 495,787.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,052 : 329,550 = 329,550 : x
  2. Step 2: Convert to fraction form
    219,052/329,550 = 329,550/x
  3. Step 3: Cross multiply
    219,052x = 329,550 × 329,550
  4. Step 4: Simplify right side
    219,052x = 108,603,202,500
  5. Step 5: Solve for x
    x = 108,603,202,500/219,052
  6. Step 6: Final answer
    x = 495,787.31

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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.