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Finding the Third Proportional to 220,088 and 329,997

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Solution

The third proportional to 220,088 and 329,997 is: 494,793.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,088 : 329,997 = 329,997 : x
  2. Step 2: Convert to fraction form
    220,088/329,997 = 329,997/x
  3. Step 3: Cross multiply
    220,088x = 329,997 × 329,997
  4. Step 4: Simplify right side
    220,088x = 108,898,020,009
  5. Step 5: Solve for x
    x = 108,898,020,009/220,088
  6. Step 6: Final answer
    x = 494,793.08

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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.