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Finding the Third Proportional to 123,538 and 240,932

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Solution

The third proportional to 123,538 and 240,932 is: 469,881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,538 : 240,932 = 240,932 : x
  2. Step 2: Convert to fraction form
    123,538/240,932 = 240,932/x
  3. Step 3: Cross multiply
    123,538x = 240,932 × 240,932
  4. Step 4: Simplify right side
    123,538x = 58,048,228,624
  5. Step 5: Solve for x
    x = 58,048,228,624/123,538
  6. Step 6: Final answer
    x = 469,881.56

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.