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Finding the Third Proportional to 344,049.75 and 370,293.75

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Solution

The third proportional to 344,049.75 and 370,293.75 is: 398,539.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,049.75 : 370,293.75 = 370,293.75 : x
  2. Step 2: Convert to fraction form
    344,049.75/370,293.75 = 370,293.75/x
  3. Step 3: Cross multiply
    344,049.75x = 370,293.75 × 370,293.75
  4. Step 4: Simplify right side
    344,049.75x = 137,117,461,289.06
  5. Step 5: Solve for x
    x = 137,117,461,289.06/344,049.75
  6. Step 6: Final answer
    x = 398,539.63

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.