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Finding the Third Proportional to 181,242 and 278,704.50

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Solution

The third proportional to 181,242 and 278,704.50 is: 428,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,242 : 278,704.50 = 278,704.50 : x
  2. Step 2: Convert to fraction form
    181,242/278,704.50 = 278,704.50/x
  3. Step 3: Cross multiply
    181,242x = 278,704.50 × 278,704.50
  4. Step 4: Simplify right side
    181,242x = 77,676,198,320.25
  5. Step 5: Solve for x
    x = 77,676,198,320.25/181,242
  6. Step 6: Final answer
    x = 428,577.25

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.