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Finding the Third Proportional to 267,549 and 366,875

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Solution

The third proportional to 267,549 and 366,875 is: 503,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,549 : 366,875 = 366,875 : x
  2. Step 2: Convert to fraction form
    267,549/366,875 = 366,875/x
  3. Step 3: Cross multiply
    267,549x = 366,875 × 366,875
  4. Step 4: Simplify right side
    267,549x = 134,597,265,625
  5. Step 5: Solve for x
    x = 134,597,265,625/267,549
  6. Step 6: Final answer
    x = 503,075.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.