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Finding the Third Proportional to 185,010.75 and 399,525.75

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Solution

The third proportional to 185,010.75 and 399,525.75 is: 862,765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,010.75 : 399,525.75 = 399,525.75 : x
  2. Step 2: Convert to fraction form
    185,010.75/399,525.75 = 399,525.75/x
  3. Step 3: Cross multiply
    185,010.75x = 399,525.75 × 399,525.75
  4. Step 4: Simplify right side
    185,010.75x = 159,620,824,913.06
  5. Step 5: Solve for x
    x = 159,620,824,913.06/185,010.75
  6. Step 6: Final answer
    x = 862,765.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.