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Finding the Third Proportional to 111,659 and 243,395

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Solution

The third proportional to 111,659 and 243,395 is: 530,553.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,659 : 243,395 = 243,395 : x
  2. Step 2: Convert to fraction form
    111,659/243,395 = 243,395/x
  3. Step 3: Cross multiply
    111,659x = 243,395 × 243,395
  4. Step 4: Simplify right side
    111,659x = 59,241,126,025
  5. Step 5: Solve for x
    x = 59,241,126,025/111,659
  6. Step 6: Final answer
    x = 530,553.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.