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Finding the Third Proportional to 177,926 and 254,837

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Solution

The third proportional to 177,926 and 254,837 is: 364,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,926 : 254,837 = 254,837 : x
  2. Step 2: Convert to fraction form
    177,926/254,837 = 254,837/x
  3. Step 3: Cross multiply
    177,926x = 254,837 × 254,837
  4. Step 4: Simplify right side
    177,926x = 64,941,896,569
  5. Step 5: Solve for x
    x = 64,941,896,569/177,926
  6. Step 6: Final answer
    x = 364,993.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.