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Finding the Third Proportional to 107,758.75 and 234,170

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Solution

The third proportional to 107,758.75 and 234,170 is: 508,873.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,758.75 : 234,170 = 234,170 : x
  2. Step 2: Convert to fraction form
    107,758.75/234,170 = 234,170/x
  3. Step 3: Cross multiply
    107,758.75x = 234,170 × 234,170
  4. Step 4: Simplify right side
    107,758.75x = 54,835,588,900
  5. Step 5: Solve for x
    x = 54,835,588,900/107,758.75
  6. Step 6: Final answer
    x = 508,873.65

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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.