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Finding the Third Proportional to 267,914.25 and 369,065.25

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Solution

The third proportional to 267,914.25 and 369,065.25 is: 508,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,914.25 : 369,065.25 = 369,065.25 : x
  2. Step 2: Convert to fraction form
    267,914.25/369,065.25 = 369,065.25/x
  3. Step 3: Cross multiply
    267,914.25x = 369,065.25 × 369,065.25
  4. Step 4: Simplify right side
    267,914.25x = 136,209,158,757.56
  5. Step 5: Solve for x
    x = 136,209,158,757.56/267,914.25
  6. Step 6: Final answer
    x = 508,405.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.