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Finding the Third Proportional to 124,624 and 268,256

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Solution

The third proportional to 124,624 and 268,256 is: 577,427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,624 : 268,256 = 268,256 : x
  2. Step 2: Convert to fraction form
    124,624/268,256 = 268,256/x
  3. Step 3: Cross multiply
    124,624x = 268,256 × 268,256
  4. Step 4: Simplify right side
    124,624x = 71,961,281,536
  5. Step 5: Solve for x
    x = 71,961,281,536/124,624
  6. Step 6: Final answer
    x = 577,427.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.