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Finding the Third Proportional to 107,164 and 232,782

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Solution

The third proportional to 107,164 and 232,782 is: 505,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,164 : 232,782 = 232,782 : x
  2. Step 2: Convert to fraction form
    107,164/232,782 = 232,782/x
  3. Step 3: Cross multiply
    107,164x = 232,782 × 232,782
  4. Step 4: Simplify right side
    107,164x = 54,187,459,524
  5. Step 5: Solve for x
    x = 54,187,459,524/107,164
  6. Step 6: Final answer
    x = 505,649.84

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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.