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Finding the Third Proportional to 111,478 and 240,372

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Solution

The third proportional to 111,478 and 240,372 is: 518,296.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,478 : 240,372 = 240,372 : x
  2. Step 2: Convert to fraction form
    111,478/240,372 = 240,372/x
  3. Step 3: Cross multiply
    111,478x = 240,372 × 240,372
  4. Step 4: Simplify right side
    111,478x = 57,778,698,384
  5. Step 5: Solve for x
    x = 57,778,698,384/111,478
  6. Step 6: Final answer
    x = 518,296.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.