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Finding the Third Proportional to 150,885 and 314,163

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Solution

The third proportional to 150,885 and 314,163 is: 654,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,885 : 314,163 = 314,163 : x
  2. Step 2: Convert to fraction form
    150,885/314,163 = 314,163/x
  3. Step 3: Cross multiply
    150,885x = 314,163 × 314,163
  4. Step 4: Simplify right side
    150,885x = 98,698,390,569
  5. Step 5: Solve for x
    x = 98,698,390,569/150,885
  6. Step 6: Final answer
    x = 654,129.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.