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Finding the Third Proportional to 124,222 and 268,116

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Solution

The third proportional to 124,222 and 268,116 is: 578,691.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,222 : 268,116 = 268,116 : x
  2. Step 2: Convert to fraction form
    124,222/268,116 = 268,116/x
  3. Step 3: Cross multiply
    124,222x = 268,116 × 268,116
  4. Step 4: Simplify right side
    124,222x = 71,886,189,456
  5. Step 5: Solve for x
    x = 71,886,189,456/124,222
  6. Step 6: Final answer
    x = 578,691.29

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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.