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Finding the Third Proportional to 181,233 and 426,406.50

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Solution

The third proportional to 181,233 and 426,406.50 is: 1,003,252.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,233 : 426,406.50 = 426,406.50 : x
  2. Step 2: Convert to fraction form
    181,233/426,406.50 = 426,406.50/x
  3. Step 3: Cross multiply
    181,233x = 426,406.50 × 426,406.50
  4. Step 4: Simplify right side
    181,233x = 181,822,503,242.25
  5. Step 5: Solve for x
    x = 181,822,503,242.25/181,233
  6. Step 6: Final answer
    x = 1,003,252.74

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.