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Finding the Third Proportional to 182,189.25 and 425,526.75

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Solution

The third proportional to 182,189.25 and 425,526.75 is: 993,873.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,189.25 : 425,526.75 = 425,526.75 : x
  2. Step 2: Convert to fraction form
    182,189.25/425,526.75 = 425,526.75/x
  3. Step 3: Cross multiply
    182,189.25x = 425,526.75 × 425,526.75
  4. Step 4: Simplify right side
    182,189.25x = 181,073,014,965.56
  5. Step 5: Solve for x
    x = 181,073,014,965.56/182,189.25
  6. Step 6: Final answer
    x = 993,873.21

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Why These Related Problems?

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