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Finding the Third Proportional to 70,893.75 and 155,764.50

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Solution

The third proportional to 70,893.75 and 155,764.50 is: 342,238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,893.75 : 155,764.50 = 155,764.50 : x
  2. Step 2: Convert to fraction form
    70,893.75/155,764.50 = 155,764.50/x
  3. Step 3: Cross multiply
    70,893.75x = 155,764.50 × 155,764.50
  4. Step 4: Simplify right side
    70,893.75x = 24,262,579,460.25
  5. Step 5: Solve for x
    x = 24,262,579,460.25/70,893.75
  6. Step 6: Final answer
    x = 342,238.62

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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.