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Finding the Third Proportional to 169,866 and 254,841

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Solution

The third proportional to 169,866 and 254,841 is: 382,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,866 : 254,841 = 254,841 : x
  2. Step 2: Convert to fraction form
    169,866/254,841 = 254,841/x
  3. Step 3: Cross multiply
    169,866x = 254,841 × 254,841
  4. Step 4: Simplify right side
    169,866x = 64,943,935,281
  5. Step 5: Solve for x
    x = 64,943,935,281/169,866
  6. Step 6: Final answer
    x = 382,324.51

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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.