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Finding the Third Proportional to 138,420.75 and 297,441.75

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Solution

The third proportional to 138,420.75 and 297,441.75 is: 639,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,420.75 : 297,441.75 = 297,441.75 : x
  2. Step 2: Convert to fraction form
    138,420.75/297,441.75 = 297,441.75/x
  3. Step 3: Cross multiply
    138,420.75x = 297,441.75 × 297,441.75
  4. Step 4: Simplify right side
    138,420.75x = 88,471,594,643.06
  5. Step 5: Solve for x
    x = 88,471,594,643.06/138,420.75
  6. Step 6: Final answer
    x = 639,149.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.