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Finding the Third Proportional to 113,908 and 248,552

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Solution

The third proportional to 113,908 and 248,552 is: 542,350.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,908 : 248,552 = 248,552 : x
  2. Step 2: Convert to fraction form
    113,908/248,552 = 248,552/x
  3. Step 3: Cross multiply
    113,908x = 248,552 × 248,552
  4. Step 4: Simplify right side
    113,908x = 61,778,096,704
  5. Step 5: Solve for x
    x = 61,778,096,704/113,908
  6. Step 6: Final answer
    x = 542,350.82

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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.