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Finding the Third Proportional to 181,396 and 423,589.25

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Solution

The third proportional to 181,396 and 423,589.25 is: 989,150.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,396 : 423,589.25 = 423,589.25 : x
  2. Step 2: Convert to fraction form
    181,396/423,589.25 = 423,589.25/x
  3. Step 3: Cross multiply
    181,396x = 423,589.25 × 423,589.25
  4. Step 4: Simplify right side
    181,396x = 179,427,852,715.56
  5. Step 5: Solve for x
    x = 179,427,852,715.56/181,396
  6. Step 6: Final answer
    x = 989,150.00

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.