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Finding the Third Proportional to 169,395 and 259,377

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Solution

The third proportional to 169,395 and 259,377 is: 397,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,395 : 259,377 = 259,377 : x
  2. Step 2: Convert to fraction form
    169,395/259,377 = 259,377/x
  3. Step 3: Cross multiply
    169,395x = 259,377 × 259,377
  4. Step 4: Simplify right side
    169,395x = 67,276,428,129
  5. Step 5: Solve for x
    x = 67,276,428,129/169,395
  6. Step 6: Final answer
    x = 397,157.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.