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Finding the Third Proportional to 107,575.50 and 234,150.75

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Solution

The third proportional to 107,575.50 and 234,150.75 is: 509,656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,575.50 : 234,150.75 = 234,150.75 : x
  2. Step 2: Convert to fraction form
    107,575.50/234,150.75 = 234,150.75/x
  3. Step 3: Cross multiply
    107,575.50x = 234,150.75 × 234,150.75
  4. Step 4: Simplify right side
    107,575.50x = 54,826,573,725.56
  5. Step 5: Solve for x
    x = 54,826,573,725.56/107,575.50
  6. Step 6: Final answer
    x = 509,656.69

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