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Finding the Third Proportional to 108,725 and 220,510

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Solution

The third proportional to 108,725 and 220,510 is: 447,226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,725 : 220,510 = 220,510 : x
  2. Step 2: Convert to fraction form
    108,725/220,510 = 220,510/x
  3. Step 3: Cross multiply
    108,725x = 220,510 × 220,510
  4. Step 4: Simplify right side
    108,725x = 48,624,660,100
  5. Step 5: Solve for x
    x = 48,624,660,100/108,725
  6. Step 6: Final answer
    x = 447,226.12

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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.