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Finding the Third Proportional to 185,046 and 396,315.75

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Solution

The third proportional to 185,046 and 396,315.75 is: 848,795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,046 : 396,315.75 = 396,315.75 : x
  2. Step 2: Convert to fraction form
    185,046/396,315.75 = 396,315.75/x
  3. Step 3: Cross multiply
    185,046x = 396,315.75 × 396,315.75
  4. Step 4: Simplify right side
    185,046x = 157,066,173,698.06
  5. Step 5: Solve for x
    x = 157,066,173,698.06/185,046
  6. Step 6: Final answer
    x = 848,795.29

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.