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Finding the Third Proportional to 267,706 and 356,895

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Solution

The third proportional to 267,706 and 356,895 is: 475,798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,706 : 356,895 = 356,895 : x
  2. Step 2: Convert to fraction form
    267,706/356,895 = 356,895/x
  3. Step 3: Cross multiply
    267,706x = 356,895 × 356,895
  4. Step 4: Simplify right side
    267,706x = 127,374,041,025
  5. Step 5: Solve for x
    x = 127,374,041,025/267,706
  6. Step 6: Final answer
    x = 475,798.23

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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.