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Finding the Third Proportional to 111,930 and 243,552

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Solution

The third proportional to 111,930 and 243,552 is: 529,952.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,930 : 243,552 = 243,552 : x
  2. Step 2: Convert to fraction form
    111,930/243,552 = 243,552/x
  3. Step 3: Cross multiply
    111,930x = 243,552 × 243,552
  4. Step 4: Simplify right side
    111,930x = 59,317,576,704
  5. Step 5: Solve for x
    x = 59,317,576,704/111,930
  6. Step 6: Final answer
    x = 529,952.44

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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.