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Finding the Third Proportional to 111,376 and 240,140

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Solution

The third proportional to 111,376 and 240,140 is: 517,770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,376 : 240,140 = 240,140 : x
  2. Step 2: Convert to fraction form
    111,376/240,140 = 240,140/x
  3. Step 3: Cross multiply
    111,376x = 240,140 × 240,140
  4. Step 4: Simplify right side
    111,376x = 57,667,219,600
  5. Step 5: Solve for x
    x = 57,667,219,600/111,376
  6. Step 6: Final answer
    x = 517,770.61

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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.