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Finding the Third Proportional to 267,681 and 356,865

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Solution

The third proportional to 267,681 and 356,865 is: 475,762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,681 : 356,865 = 356,865 : x
  2. Step 2: Convert to fraction form
    267,681/356,865 = 356,865/x
  3. Step 3: Cross multiply
    267,681x = 356,865 × 356,865
  4. Step 4: Simplify right side
    267,681x = 127,352,628,225
  5. Step 5: Solve for x
    x = 127,352,628,225/267,681
  6. Step 6: Final answer
    x = 475,762.67

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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.