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Finding the Third Proportional to 108,730 and 220,533

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Solution

The third proportional to 108,730 and 220,533 is: 447,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,730 : 220,533 = 220,533 : x
  2. Step 2: Convert to fraction form
    108,730/220,533 = 220,533/x
  3. Step 3: Cross multiply
    108,730x = 220,533 × 220,533
  4. Step 4: Simplify right side
    108,730x = 48,634,804,089
  5. Step 5: Solve for x
    x = 48,634,804,089/108,730
  6. Step 6: Final answer
    x = 447,298.85

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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.