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Finding the Third Proportional to 185,223.38 and 398,058.75

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Solution

The third proportional to 185,223.38 and 398,058.75 is: 855,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,223.38 : 398,058.75 = 398,058.75 : x
  2. Step 2: Convert to fraction form
    185,223.38/398,058.75 = 398,058.75/x
  3. Step 3: Cross multiply
    185,223.38x = 398,058.75 × 398,058.75
  4. Step 4: Simplify right side
    185,223.38x = 158,450,768,451.56
  5. Step 5: Solve for x
    x = 158,450,768,451.56/185,223.38
  6. Step 6: Final answer
    x = 855,457.73

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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.