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Finding the Third Proportional to 222,044.50 and 329,239.50

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Solution

The third proportional to 222,044.50 and 329,239.50 is: 488,184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,044.50 : 329,239.50 = 329,239.50 : x
  2. Step 2: Convert to fraction form
    222,044.50/329,239.50 = 329,239.50/x
  3. Step 3: Cross multiply
    222,044.50x = 329,239.50 × 329,239.50
  4. Step 4: Simplify right side
    222,044.50x = 108,398,648,360.25
  5. Step 5: Solve for x
    x = 108,398,648,360.25/222,044.50
  6. Step 6: Final answer
    x = 488,184.34

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.