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Finding the Third Proportional to 220,608 and 310,660

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Solution

The third proportional to 220,608 and 310,660 is: 437,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,608 : 310,660 = 310,660 : x
  2. Step 2: Convert to fraction form
    220,608/310,660 = 310,660/x
  3. Step 3: Cross multiply
    220,608x = 310,660 × 310,660
  4. Step 4: Simplify right side
    220,608x = 96,509,635,600
  5. Step 5: Solve for x
    x = 96,509,635,600/220,608
  6. Step 6: Final answer
    x = 437,471.15

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.