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Finding the Third Proportional to 169,044 and 254,241

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Solution

The third proportional to 169,044 and 254,241 is: 382,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,044 : 254,241 = 254,241 : x
  2. Step 2: Convert to fraction form
    169,044/254,241 = 254,241/x
  3. Step 3: Cross multiply
    169,044x = 254,241 × 254,241
  4. Step 4: Simplify right side
    169,044x = 64,638,486,081
  5. Step 5: Solve for x
    x = 64,638,486,081/169,044
  6. Step 6: Final answer
    x = 382,376.70

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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.