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Finding the Third Proportional to 186,598.69 and 399,819.38

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Solution

The third proportional to 186,598.69 and 399,819.38 is: 856,680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,598.69 : 399,819.38 = 399,819.38 : x
  2. Step 2: Convert to fraction form
    186,598.69/399,819.38 = 399,819.38/x
  3. Step 3: Cross multiply
    186,598.69x = 399,819.38 × 399,819.38
  4. Step 4: Simplify right side
    186,598.69x = 159,855,532,625.39
  5. Step 5: Solve for x
    x = 159,855,532,625.39/186,598.69
  6. Step 6: Final answer
    x = 856,680.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.