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Finding the Third Proportional to 186,351.75 and 402,207.75

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Solution

The third proportional to 186,351.75 and 402,207.75 is: 868,095.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,351.75 : 402,207.75 = 402,207.75 : x
  2. Step 2: Convert to fraction form
    186,351.75/402,207.75 = 402,207.75/x
  3. Step 3: Cross multiply
    186,351.75x = 402,207.75 × 402,207.75
  4. Step 4: Simplify right side
    186,351.75x = 161,771,074,160.06
  5. Step 5: Solve for x
    x = 161,771,074,160.06/186,351.75
  6. Step 6: Final answer
    x = 868,095.28

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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.