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Finding the Third Proportional to 186,642 and 404,388

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Solution

The third proportional to 186,642 and 404,388 is: 876,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,642 : 404,388 = 404,388 : x
  2. Step 2: Convert to fraction form
    186,642/404,388 = 404,388/x
  3. Step 3: Cross multiply
    186,642x = 404,388 × 404,388
  4. Step 4: Simplify right side
    186,642x = 163,529,654,544
  5. Step 5: Solve for x
    x = 163,529,654,544/186,642
  6. Step 6: Final answer
    x = 876,167.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.