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Finding the Third Proportional to 185,986.13 and 325,635.19

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Solution

The third proportional to 185,986.13 and 325,635.19 is: 570,140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,986.13 : 325,635.19 = 325,635.19 : x
  2. Step 2: Convert to fraction form
    185,986.13/325,635.19 = 325,635.19/x
  3. Step 3: Cross multiply
    185,986.13x = 325,635.19 × 325,635.19
  4. Step 4: Simplify right side
    185,986.13x = 106,038,275,338.16
  5. Step 5: Solve for x
    x = 106,038,275,338.16/185,986.13
  6. Step 6: Final answer
    x = 570,140.79

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These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.