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Finding the Third Proportional to 107,709.75 and 234,738

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Solution

The third proportional to 107,709.75 and 234,738 is: 511,577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,709.75 : 234,738 = 234,738 : x
  2. Step 2: Convert to fraction form
    107,709.75/234,738 = 234,738/x
  3. Step 3: Cross multiply
    107,709.75x = 234,738 × 234,738
  4. Step 4: Simplify right side
    107,709.75x = 55,101,928,644
  5. Step 5: Solve for x
    x = 55,101,928,644/107,709.75
  6. Step 6: Final answer
    x = 511,577.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.