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Finding the Third Proportional to 107,162 and 232,778

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Solution

The third proportional to 107,162 and 232,778 is: 505,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,162 : 232,778 = 232,778 : x
  2. Step 2: Convert to fraction form
    107,162/232,778 = 232,778/x
  3. Step 3: Cross multiply
    107,162x = 232,778 × 232,778
  4. Step 4: Simplify right side
    107,162x = 54,185,597,284
  5. Step 5: Solve for x
    x = 54,185,597,284/107,162
  6. Step 6: Final answer
    x = 505,641.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.