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Finding the Third Proportional to 107,170 and 232,789

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Solution

The third proportional to 107,170 and 232,789 is: 505,651.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,170 : 232,789 = 232,789 : x
  2. Step 2: Convert to fraction form
    107,170/232,789 = 232,789/x
  3. Step 3: Cross multiply
    107,170x = 232,789 × 232,789
  4. Step 4: Simplify right side
    107,170x = 54,190,718,521
  5. Step 5: Solve for x
    x = 54,190,718,521/107,170
  6. Step 6: Final answer
    x = 505,651.94

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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.