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Finding the Third Proportional to 186,334 and 402,175

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Solution

The third proportional to 186,334 and 402,175 is: 868,036.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,334 : 402,175 = 402,175 : x
  2. Step 2: Convert to fraction form
    186,334/402,175 = 402,175/x
  3. Step 3: Cross multiply
    186,334x = 402,175 × 402,175
  4. Step 4: Simplify right side
    186,334x = 161,744,730,625
  5. Step 5: Solve for x
    x = 161,744,730,625/186,334
  6. Step 6: Final answer
    x = 868,036.59

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