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Finding the Third Proportional to 267,708 and 356,898

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Solution

The third proportional to 267,708 and 356,898 is: 475,802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,708 : 356,898 = 356,898 : x
  2. Step 2: Convert to fraction form
    267,708/356,898 = 356,898/x
  3. Step 3: Cross multiply
    267,708x = 356,898 × 356,898
  4. Step 4: Simplify right side
    267,708x = 127,376,182,404
  5. Step 5: Solve for x
    x = 127,376,182,404/267,708
  6. Step 6: Final answer
    x = 475,802.67

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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.