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Finding the Third Proportional to 124,240 and 268,150

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Solution

The third proportional to 124,240 and 268,150 is: 578,754.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,240 : 268,150 = 268,150 : x
  2. Step 2: Convert to fraction form
    124,240/268,150 = 268,150/x
  3. Step 3: Cross multiply
    124,240x = 268,150 × 268,150
  4. Step 4: Simplify right side
    124,240x = 71,904,422,500
  5. Step 5: Solve for x
    x = 71,904,422,500/124,240
  6. Step 6: Final answer
    x = 578,754.21

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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.