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Finding the Third Proportional to 108,729 and 220,527

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Solution

The third proportional to 108,729 and 220,527 is: 447,278.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,729 : 220,527 = 220,527 : x
  2. Step 2: Convert to fraction form
    108,729/220,527 = 220,527/x
  3. Step 3: Cross multiply
    108,729x = 220,527 × 220,527
  4. Step 4: Simplify right side
    108,729x = 48,632,157,729
  5. Step 5: Solve for x
    x = 48,632,157,729/108,729
  6. Step 6: Final answer
    x = 447,278.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.