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Finding the Third Proportional to 190,290.75 and 409,285.75

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Solution

The third proportional to 190,290.75 and 409,285.75 is: 880,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,290.75 : 409,285.75 = 409,285.75 : x
  2. Step 2: Convert to fraction form
    190,290.75/409,285.75 = 409,285.75/x
  3. Step 3: Cross multiply
    190,290.75x = 409,285.75 × 409,285.75
  4. Step 4: Simplify right side
    190,290.75x = 167,514,825,153.06
  5. Step 5: Solve for x
    x = 167,514,825,153.06/190,290.75
  6. Step 6: Final answer
    x = 880,309.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.