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Finding the Third Proportional to 131,604 and 288,198

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Solution

The third proportional to 131,604 and 288,198 is: 631,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,604 : 288,198 = 288,198 : x
  2. Step 2: Convert to fraction form
    131,604/288,198 = 288,198/x
  3. Step 3: Cross multiply
    131,604x = 288,198 × 288,198
  4. Step 4: Simplify right side
    131,604x = 83,058,087,204
  5. Step 5: Solve for x
    x = 83,058,087,204/131,604
  6. Step 6: Final answer
    x = 631,121.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.