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Finding the Third Proportional to 132,789 and 311,074.50

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Solution

The third proportional to 132,789 and 311,074.50 is: 728,730.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,789 : 311,074.50 = 311,074.50 : x
  2. Step 2: Convert to fraction form
    132,789/311,074.50 = 311,074.50/x
  3. Step 3: Cross multiply
    132,789x = 311,074.50 × 311,074.50
  4. Step 4: Simplify right side
    132,789x = 96,767,344,550.25
  5. Step 5: Solve for x
    x = 96,767,344,550.25/132,789
  6. Step 6: Final answer
    x = 728,730.12

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.