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Finding the Third Proportional to 79,899.50 and 177,535

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Solution

The third proportional to 79,899.50 and 177,535 is: 394,479.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,899.50 : 177,535 = 177,535 : x
  2. Step 2: Convert to fraction form
    79,899.50/177,535 = 177,535/x
  3. Step 3: Cross multiply
    79,899.50x = 177,535 × 177,535
  4. Step 4: Simplify right side
    79,899.50x = 31,518,676,225
  5. Step 5: Solve for x
    x = 31,518,676,225/79,899.50
  6. Step 6: Final answer
    x = 394,479.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.