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Finding the Third Proportional to 77,259.94 and 160,441.13

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Solution

The third proportional to 77,259.94 and 160,441.13 is: 333,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,259.94 : 160,441.13 = 160,441.13 : x
  2. Step 2: Convert to fraction form
    77,259.94/160,441.13 = 160,441.13/x
  3. Step 3: Cross multiply
    77,259.94x = 160,441.13 × 160,441.13
  4. Step 4: Simplify right side
    77,259.94x = 25,741,354,591.27
  5. Step 5: Solve for x
    x = 25,741,354,591.27/77,259.94
  6. Step 6: Final answer
    x = 333,178.56

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Why These Related Problems?

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