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Finding the Third Proportional to 124,244 and 268,160

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Solution

The third proportional to 124,244 and 268,160 is: 578,778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,244 : 268,160 = 268,160 : x
  2. Step 2: Convert to fraction form
    124,244/268,160 = 268,160/x
  3. Step 3: Cross multiply
    124,244x = 268,160 × 268,160
  4. Step 4: Simplify right side
    124,244x = 71,909,785,600
  5. Step 5: Solve for x
    x = 71,909,785,600/124,244
  6. Step 6: Final answer
    x = 578,778.74

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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.