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Finding the Third Proportional to 150,867 and 314,135

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Solution

The third proportional to 150,867 and 314,135 is: 654,091.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,867 : 314,135 = 314,135 : x
  2. Step 2: Convert to fraction form
    150,867/314,135 = 314,135/x
  3. Step 3: Cross multiply
    150,867x = 314,135 × 314,135
  4. Step 4: Simplify right side
    150,867x = 98,680,798,225
  5. Step 5: Solve for x
    x = 98,680,798,225/150,867
  6. Step 6: Final answer
    x = 654,091.34

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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.