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Finding the Third Proportional to 185,433 and 251,895

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Solution

The third proportional to 185,433 and 251,895 is: 342,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,433 : 251,895 = 251,895 : x
  2. Step 2: Convert to fraction form
    185,433/251,895 = 251,895/x
  3. Step 3: Cross multiply
    185,433x = 251,895 × 251,895
  4. Step 4: Simplify right side
    185,433x = 63,451,091,025
  5. Step 5: Solve for x
    x = 63,451,091,025/185,433
  6. Step 6: Final answer
    x = 342,177.99

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.