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Finding the Third Proportional to 122,914 and 268,076

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Solution

The third proportional to 122,914 and 268,076 is: 584,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,914 : 268,076 = 268,076 : x
  2. Step 2: Convert to fraction form
    122,914/268,076 = 268,076/x
  3. Step 3: Cross multiply
    122,914x = 268,076 × 268,076
  4. Step 4: Simplify right side
    122,914x = 71,864,741,776
  5. Step 5: Solve for x
    x = 71,864,741,776/122,914
  6. Step 6: Final answer
    x = 584,674.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.