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Finding the Third Proportional to 80,888.75 and 175,749.50

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Solution

The third proportional to 80,888.75 and 175,749.50 is: 381,856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,888.75 : 175,749.50 = 175,749.50 : x
  2. Step 2: Convert to fraction form
    80,888.75/175,749.50 = 175,749.50/x
  3. Step 3: Cross multiply
    80,888.75x = 175,749.50 × 175,749.50
  4. Step 4: Simplify right side
    80,888.75x = 30,887,886,750.25
  5. Step 5: Solve for x
    x = 30,887,886,750.25/80,888.75
  6. Step 6: Final answer
    x = 381,856.40

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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.