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Finding the Third Proportional to 122,411.25 and 267,239.25

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Solution

The third proportional to 122,411.25 and 267,239.25 is: 583,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,411.25 : 267,239.25 = 267,239.25 : x
  2. Step 2: Convert to fraction form
    122,411.25/267,239.25 = 267,239.25/x
  3. Step 3: Cross multiply
    122,411.25x = 267,239.25 × 267,239.25
  4. Step 4: Simplify right side
    122,411.25x = 71,416,816,740.56
  5. Step 5: Solve for x
    x = 71,416,816,740.56/122,411.25
  6. Step 6: Final answer
    x = 583,417.10

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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.