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Finding the Third Proportional to 169,214.25 and 253,857

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Solution

The third proportional to 169,214.25 and 253,857 is: 380,838.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,214.25 : 253,857 = 253,857 : x
  2. Step 2: Convert to fraction form
    169,214.25/253,857 = 253,857/x
  3. Step 3: Cross multiply
    169,214.25x = 253,857 × 253,857
  4. Step 4: Simplify right side
    169,214.25x = 64,443,376,449
  5. Step 5: Solve for x
    x = 64,443,376,449/169,214.25
  6. Step 6: Final answer
    x = 380,838.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.