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Finding the Third Proportional to 111,720 and 240,932

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Solution

The third proportional to 111,720 and 240,932 is: 519,586.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,720 : 240,932 = 240,932 : x
  2. Step 2: Convert to fraction form
    111,720/240,932 = 240,932/x
  3. Step 3: Cross multiply
    111,720x = 240,932 × 240,932
  4. Step 4: Simplify right side
    111,720x = 58,048,228,624
  5. Step 5: Solve for x
    x = 58,048,228,624/111,720
  6. Step 6: Final answer
    x = 519,586.72

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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.