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Finding the Third Proportional to 155,924 and 251,112

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Solution

The third proportional to 155,924 and 251,112 is: 404,410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,924 : 251,112 = 251,112 : x
  2. Step 2: Convert to fraction form
    155,924/251,112 = 251,112/x
  3. Step 3: Cross multiply
    155,924x = 251,112 × 251,112
  4. Step 4: Simplify right side
    155,924x = 63,057,236,544
  5. Step 5: Solve for x
    x = 63,057,236,544/155,924
  6. Step 6: Final answer
    x = 404,410.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.