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Finding the Third Proportional to 202,132 and 336,857

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Solution

The third proportional to 202,132 and 336,857 is: 561,378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,132 : 336,857 = 336,857 : x
  2. Step 2: Convert to fraction form
    202,132/336,857 = 336,857/x
  3. Step 3: Cross multiply
    202,132x = 336,857 × 336,857
  4. Step 4: Simplify right side
    202,132x = 113,472,638,449
  5. Step 5: Solve for x
    x = 113,472,638,449/202,132
  6. Step 6: Final answer
    x = 561,378.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.