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Finding the Third Proportional to 267,362 and 356,787

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Solution

The third proportional to 267,362 and 356,787 is: 476,122.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,362 : 356,787 = 356,787 : x
  2. Step 2: Convert to fraction form
    267,362/356,787 = 356,787/x
  3. Step 3: Cross multiply
    267,362x = 356,787 × 356,787
  4. Step 4: Simplify right side
    267,362x = 127,296,963,369
  5. Step 5: Solve for x
    x = 127,296,963,369/267,362
  6. Step 6: Final answer
    x = 476,122.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.