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Finding the Third Proportional to 140,550 and 308,748

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Solution

The third proportional to 140,550 and 308,748 is: 678,230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,550 : 308,748 = 308,748 : x
  2. Step 2: Convert to fraction form
    140,550/308,748 = 308,748/x
  3. Step 3: Cross multiply
    140,550x = 308,748 × 308,748
  4. Step 4: Simplify right side
    140,550x = 95,325,327,504
  5. Step 5: Solve for x
    x = 95,325,327,504/140,550
  6. Step 6: Final answer
    x = 678,230.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.