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Finding the Third Proportional to 150,914 and 314,203

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Solution

The third proportional to 150,914 and 314,203 is: 654,170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,914 : 314,203 = 314,203 : x
  2. Step 2: Convert to fraction form
    150,914/314,203 = 314,203/x
  3. Step 3: Cross multiply
    150,914x = 314,203 × 314,203
  4. Step 4: Simplify right side
    150,914x = 98,723,525,209
  5. Step 5: Solve for x
    x = 98,723,525,209/150,914
  6. Step 6: Final answer
    x = 654,170.75

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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.