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Finding the Third Proportional to 185,058 and 398,189.25

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Solution

The third proportional to 185,058 and 398,189.25 is: 856,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,058 : 398,189.25 = 398,189.25 : x
  2. Step 2: Convert to fraction form
    185,058/398,189.25 = 398,189.25/x
  3. Step 3: Cross multiply
    185,058x = 398,189.25 × 398,189.25
  4. Step 4: Simplify right side
    185,058x = 158,554,678,815.56
  5. Step 5: Solve for x
    x = 158,554,678,815.56/185,058
  6. Step 6: Final answer
    x = 856,783.70

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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.