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Finding the Third Proportional to 134,975 and 296,401

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Solution

The third proportional to 134,975 and 296,401 is: 650,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,975 : 296,401 = 296,401 : x
  2. Step 2: Convert to fraction form
    134,975/296,401 = 296,401/x
  3. Step 3: Cross multiply
    134,975x = 296,401 × 296,401
  4. Step 4: Simplify right side
    134,975x = 87,853,552,801
  5. Step 5: Solve for x
    x = 87,853,552,801/134,975
  6. Step 6: Final answer
    x = 650,887.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.