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Finding the Third Proportional to 122,616 and 268,344

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Solution

The third proportional to 122,616 and 268,344 is: 587,268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,616 : 268,344 = 268,344 : x
  2. Step 2: Convert to fraction form
    122,616/268,344 = 268,344/x
  3. Step 3: Cross multiply
    122,616x = 268,344 × 268,344
  4. Step 4: Simplify right side
    122,616x = 72,008,502,336
  5. Step 5: Solve for x
    x = 72,008,502,336/122,616
  6. Step 6: Final answer
    x = 587,268.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.