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Finding the Third Proportional to 111,381 and 240,150

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Solution

The third proportional to 111,381 and 240,150 is: 517,790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,381 : 240,150 = 240,150 : x
  2. Step 2: Convert to fraction form
    111,381/240,150 = 240,150/x
  3. Step 3: Cross multiply
    111,381x = 240,150 × 240,150
  4. Step 4: Simplify right side
    111,381x = 57,672,022,500
  5. Step 5: Solve for x
    x = 57,672,022,500/111,381
  6. Step 6: Final answer
    x = 517,790.49

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Why These Related Problems?

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