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Finding the Third Proportional to 123,524 and 240,904

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Solution

The third proportional to 123,524 and 240,904 is: 469,825.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,524 : 240,904 = 240,904 : x
  2. Step 2: Convert to fraction form
    123,524/240,904 = 240,904/x
  3. Step 3: Cross multiply
    123,524x = 240,904 × 240,904
  4. Step 4: Simplify right side
    123,524x = 58,034,737,216
  5. Step 5: Solve for x
    x = 58,034,737,216/123,524
  6. Step 6: Final answer
    x = 469,825.60

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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.