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Finding the Third Proportional to 124,256 and 268,186

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Solution

The third proportional to 124,256 and 268,186 is: 578,835.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,256 : 268,186 = 268,186 : x
  2. Step 2: Convert to fraction form
    124,256/268,186 = 268,186/x
  3. Step 3: Cross multiply
    124,256x = 268,186 × 268,186
  4. Step 4: Simplify right side
    124,256x = 71,923,730,596
  5. Step 5: Solve for x
    x = 71,923,730,596/124,256
  6. Step 6: Final answer
    x = 578,835.07

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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.