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Finding the Third Proportional to 122,809.45 and 268,531.14

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Solution

The third proportional to 122,809.45 and 268,531.14 is: 587,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,809.45 : 268,531.14 = 268,531.14 : x
  2. Step 2: Convert to fraction form
    122,809.45/268,531.14 = 268,531.14/x
  3. Step 3: Cross multiply
    122,809.45x = 268,531.14 × 268,531.14
  4. Step 4: Simplify right side
    122,809.45x = 72,108,971,387.46
  5. Step 5: Solve for x
    x = 72,108,971,387.46/122,809.45
  6. Step 6: Final answer
    x = 587,161.44

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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.