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Finding the Third Proportional to 169,334 and 232,204

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Solution

The third proportional to 169,334 and 232,204 is: 318,416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,334 : 232,204 = 232,204 : x
  2. Step 2: Convert to fraction form
    169,334/232,204 = 232,204/x
  3. Step 3: Cross multiply
    169,334x = 232,204 × 232,204
  4. Step 4: Simplify right side
    169,334x = 53,918,697,616
  5. Step 5: Solve for x
    x = 53,918,697,616/169,334
  6. Step 6: Final answer
    x = 318,416.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.