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Finding the Third Proportional to 175,844 and 259,902

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Solution

The third proportional to 175,844 and 259,902 is: 384,141.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,844 : 259,902 = 259,902 : x
  2. Step 2: Convert to fraction form
    175,844/259,902 = 259,902/x
  3. Step 3: Cross multiply
    175,844x = 259,902 × 259,902
  4. Step 4: Simplify right side
    175,844x = 67,549,049,604
  5. Step 5: Solve for x
    x = 67,549,049,604/175,844
  6. Step 6: Final answer
    x = 384,141.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.