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Finding the Third Proportional to 106,789.50 and 234,896.25

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Solution

The third proportional to 106,789.50 and 234,896.25 is: 516,682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,789.50 : 234,896.25 = 234,896.25 : x
  2. Step 2: Convert to fraction form
    106,789.50/234,896.25 = 234,896.25/x
  3. Step 3: Cross multiply
    106,789.50x = 234,896.25 × 234,896.25
  4. Step 4: Simplify right side
    106,789.50x = 55,176,248,264.06
  5. Step 5: Solve for x
    x = 55,176,248,264.06/106,789.50
  6. Step 6: Final answer
    x = 516,682.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.