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Finding the Third Proportional to 169,888 and 254,780

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Solution

The third proportional to 169,888 and 254,780 is: 382,092.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,888 : 254,780 = 254,780 : x
  2. Step 2: Convert to fraction form
    169,888/254,780 = 254,780/x
  3. Step 3: Cross multiply
    169,888x = 254,780 × 254,780
  4. Step 4: Simplify right side
    169,888x = 64,912,848,400
  5. Step 5: Solve for x
    x = 64,912,848,400/169,888
  6. Step 6: Final answer
    x = 382,092.02

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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.