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Finding the Third Proportional to 186,800 and 399,844

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Solution

The third proportional to 186,800 and 399,844 is: 855,863.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,800 : 399,844 = 399,844 : x
  2. Step 2: Convert to fraction form
    186,800/399,844 = 399,844/x
  3. Step 3: Cross multiply
    186,800x = 399,844 × 399,844
  4. Step 4: Simplify right side
    186,800x = 159,875,224,336
  5. Step 5: Solve for x
    x = 159,875,224,336/186,800
  6. Step 6: Final answer
    x = 855,863.09

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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.