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Finding the Third Proportional to 139,151.25 and 297,978.75

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Solution

The third proportional to 139,151.25 and 297,978.75 is: 638,092.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,151.25 : 297,978.75 = 297,978.75 : x
  2. Step 2: Convert to fraction form
    139,151.25/297,978.75 = 297,978.75/x
  3. Step 3: Cross multiply
    139,151.25x = 297,978.75 × 297,978.75
  4. Step 4: Simplify right side
    139,151.25x = 88,791,335,451.56
  5. Step 5: Solve for x
    x = 88,791,335,451.56/139,151.25
  6. Step 6: Final answer
    x = 638,092.26

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.