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Finding the Third Proportional to 141,715.13 and 311,074.88

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Solution

The third proportional to 141,715.13 and 311,074.88 is: 682,831.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,715.13 : 311,074.88 = 311,074.88 : x
  2. Step 2: Convert to fraction form
    141,715.13/311,074.88 = 311,074.88/x
  3. Step 3: Cross multiply
    141,715.13x = 311,074.88 × 311,074.88
  4. Step 4: Simplify right side
    141,715.13x = 96,767,577,856.27
  5. Step 5: Solve for x
    x = 96,767,577,856.27/141,715.13
  6. Step 6: Final answer
    x = 682,831.69

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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.