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Finding the Third Proportional to 267,546 and 366,873

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Solution

The third proportional to 267,546 and 366,873 is: 503,075.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,546 : 366,873 = 366,873 : x
  2. Step 2: Convert to fraction form
    267,546/366,873 = 366,873/x
  3. Step 3: Cross multiply
    267,546x = 366,873 × 366,873
  4. Step 4: Simplify right side
    267,546x = 134,595,798,129
  5. Step 5: Solve for x
    x = 134,595,798,129/267,546
  6. Step 6: Final answer
    x = 503,075.35

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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.