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Finding the Third Proportional to 186,643 and 404,390

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Solution

The third proportional to 186,643 and 404,390 is: 876,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,643 : 404,390 = 404,390 : x
  2. Step 2: Convert to fraction form
    186,643/404,390 = 404,390/x
  3. Step 3: Cross multiply
    186,643x = 404,390 × 404,390
  4. Step 4: Simplify right side
    186,643x = 163,531,272,100
  5. Step 5: Solve for x
    x = 163,531,272,100/186,643
  6. Step 6: Final answer
    x = 876,171.47

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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.