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Finding the Third Proportional to 186,333 and 402,173

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Solution

The third proportional to 186,333 and 402,173 is: 868,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,333 : 402,173 = 402,173 : x
  2. Step 2: Convert to fraction form
    186,333/402,173 = 402,173/x
  3. Step 3: Cross multiply
    186,333x = 402,173 × 402,173
  4. Step 4: Simplify right side
    186,333x = 161,743,121,929
  5. Step 5: Solve for x
    x = 161,743,121,929/186,333
  6. Step 6: Final answer
    x = 868,032.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.