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Finding the Third Proportional to 145,253.25 and 313,449.75

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Solution

The third proportional to 145,253.25 and 313,449.75 is: 676,409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,253.25 : 313,449.75 = 313,449.75 : x
  2. Step 2: Convert to fraction form
    145,253.25/313,449.75 = 313,449.75/x
  3. Step 3: Cross multiply
    145,253.25x = 313,449.75 × 313,449.75
  4. Step 4: Simplify right side
    145,253.25x = 98,250,745,775.06
  5. Step 5: Solve for x
    x = 98,250,745,775.06/145,253.25
  6. Step 6: Final answer
    x = 676,409.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.