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Finding the Third Proportional to 147,855.38 and 209,211.75

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Solution

The third proportional to 147,855.38 and 209,211.75 is: 296,029.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,855.38 : 209,211.75 = 209,211.75 : x
  2. Step 2: Convert to fraction form
    147,855.38/209,211.75 = 209,211.75/x
  3. Step 3: Cross multiply
    147,855.38x = 209,211.75 × 209,211.75
  4. Step 4: Simplify right side
    147,855.38x = 43,769,556,338.06
  5. Step 5: Solve for x
    x = 43,769,556,338.06/147,855.38
  6. Step 6: Final answer
    x = 296,029.52

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.