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Finding the Third Proportional to 185,064.75 and 401,839.88

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Solution

The third proportional to 185,064.75 and 401,839.88 is: 872,533.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,064.75 : 401,839.88 = 401,839.88 : x
  2. Step 2: Convert to fraction form
    185,064.75/401,839.88 = 401,839.88/x
  3. Step 3: Cross multiply
    185,064.75x = 401,839.88 × 401,839.88
  4. Step 4: Simplify right side
    185,064.75x = 161,475,285,140.02
  5. Step 5: Solve for x
    x = 161,475,285,140.02/185,064.75
  6. Step 6: Final answer
    x = 872,533.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.