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Finding the Third Proportional to 167,894 and 253,458

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Solution

The third proportional to 167,894 and 253,458 is: 382,628.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,894 : 253,458 = 253,458 : x
  2. Step 2: Convert to fraction form
    167,894/253,458 = 253,458/x
  3. Step 3: Cross multiply
    167,894x = 253,458 × 253,458
  4. Step 4: Simplify right side
    167,894x = 64,240,957,764
  5. Step 5: Solve for x
    x = 64,240,957,764/167,894
  6. Step 6: Final answer
    x = 382,628.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.