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Finding the Third Proportional to 221,432 and 332,090

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Solution

The third proportional to 221,432 and 332,090 is: 498,048.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,432 : 332,090 = 332,090 : x
  2. Step 2: Convert to fraction form
    221,432/332,090 = 332,090/x
  3. Step 3: Cross multiply
    221,432x = 332,090 × 332,090
  4. Step 4: Simplify right side
    221,432x = 110,283,768,100
  5. Step 5: Solve for x
    x = 110,283,768,100/221,432
  6. Step 6: Final answer
    x = 498,048.02

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