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Finding the Third Proportional to 122,332 and 268,722

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Solution

The third proportional to 122,332 and 268,722 is: 590,291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,332 : 268,722 = 268,722 : x
  2. Step 2: Convert to fraction form
    122,332/268,722 = 268,722/x
  3. Step 3: Cross multiply
    122,332x = 268,722 × 268,722
  4. Step 4: Simplify right side
    122,332x = 72,211,513,284
  5. Step 5: Solve for x
    x = 72,211,513,284/122,332
  6. Step 6: Final answer
    x = 590,291.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.