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Finding the Third Proportional to 188,934.19 and 399,196.69

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Solution

The third proportional to 188,934.19 and 399,196.69 is: 843,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,934.19 : 399,196.69 = 399,196.69 : x
  2. Step 2: Convert to fraction form
    188,934.19/399,196.69 = 399,196.69/x
  3. Step 3: Cross multiply
    188,934.19x = 399,196.69 × 399,196.69
  4. Step 4: Simplify right side
    188,934.19x = 159,357,995,310.97
  5. Step 5: Solve for x
    x = 159,357,995,310.97/188,934.19
  6. Step 6: Final answer
    x = 843,457.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.