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Finding the Third Proportional to 150,823.27 and 314,050.92

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Solution

The third proportional to 150,823.27 and 314,050.92 is: 653,930.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,823.27 : 314,050.92 = 314,050.92 : x
  2. Step 2: Convert to fraction form
    150,823.27/314,050.92 = 314,050.92/x
  3. Step 3: Cross multiply
    150,823.27x = 314,050.92 × 314,050.92
  4. Step 4: Simplify right side
    150,823.27x = 98,627,981,530.54
  5. Step 5: Solve for x
    x = 98,627,981,530.54/150,823.27
  6. Step 6: Final answer
    x = 653,930.82

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.