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Finding the Third Proportional to 147,874.50 and 209,241

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Solution

The third proportional to 147,874.50 and 209,241 is: 296,074.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,874.50 : 209,241 = 209,241 : x
  2. Step 2: Convert to fraction form
    147,874.50/209,241 = 209,241/x
  3. Step 3: Cross multiply
    147,874.50x = 209,241 × 209,241
  4. Step 4: Simplify right side
    147,874.50x = 43,781,796,081
  5. Step 5: Solve for x
    x = 43,781,796,081/147,874.50
  6. Step 6: Final answer
    x = 296,074.01

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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.