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Finding the Third Proportional to 162,458 and 251,063

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Solution

The third proportional to 162,458 and 251,063 is: 387,993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,458 : 251,063 = 251,063 : x
  2. Step 2: Convert to fraction form
    162,458/251,063 = 251,063/x
  3. Step 3: Cross multiply
    162,458x = 251,063 × 251,063
  4. Step 4: Simplify right side
    162,458x = 63,032,629,969
  5. Step 5: Solve for x
    x = 63,032,629,969/162,458
  6. Step 6: Final answer
    x = 387,993.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.