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Finding the Third Proportional to 186,841.69 and 290,105.30

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Solution

The third proportional to 186,841.69 and 290,105.30 is: 450,440.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,841.69 : 290,105.30 = 290,105.30 : x
  2. Step 2: Convert to fraction form
    186,841.69/290,105.30 = 290,105.30/x
  3. Step 3: Cross multiply
    186,841.69x = 290,105.30 × 290,105.30
  4. Step 4: Simplify right side
    186,841.69x = 84,161,083,274.93
  5. Step 5: Solve for x
    x = 84,161,083,274.93/186,841.69
  6. Step 6: Final answer
    x = 450,440.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.