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Finding the Third Proportional to 180,802.13 and 345,196.69

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Solution

The third proportional to 180,802.13 and 345,196.69 is: 659,067.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,802.13 : 345,196.69 = 345,196.69 : x
  2. Step 2: Convert to fraction form
    180,802.13/345,196.69 = 345,196.69/x
  3. Step 3: Cross multiply
    180,802.13x = 345,196.69 × 345,196.69
  4. Step 4: Simplify right side
    180,802.13x = 119,160,753,060.97
  5. Step 5: Solve for x
    x = 119,160,753,060.97/180,802.13
  6. Step 6: Final answer
    x = 659,067.22

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.