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Finding the Third Proportional to 177,837 and 316,198.50

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Solution

The third proportional to 177,837 and 316,198.50 is: 562,208.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,837 : 316,198.50 = 316,198.50 : x
  2. Step 2: Convert to fraction form
    177,837/316,198.50 = 316,198.50/x
  3. Step 3: Cross multiply
    177,837x = 316,198.50 × 316,198.50
  4. Step 4: Simplify right side
    177,837x = 99,981,491,402.25
  5. Step 5: Solve for x
    x = 99,981,491,402.25/177,837
  6. Step 6: Final answer
    x = 562,208.60

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.