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Finding the Third Proportional to 181,637 and 395,969.50

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Solution

The third proportional to 181,637 and 395,969.50 is: 863,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,637 : 395,969.50 = 395,969.50 : x
  2. Step 2: Convert to fraction form
    181,637/395,969.50 = 395,969.50/x
  3. Step 3: Cross multiply
    181,637x = 395,969.50 × 395,969.50
  4. Step 4: Simplify right side
    181,637x = 156,791,844,930.25
  5. Step 5: Solve for x
    x = 156,791,844,930.25/181,637
  6. Step 6: Final answer
    x = 863,215.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.