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Finding the Third Proportional to 243,318.75 and 325,473.75

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Solution

The third proportional to 243,318.75 and 325,473.75 is: 435,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,318.75 : 325,473.75 = 325,473.75 : x
  2. Step 2: Convert to fraction form
    243,318.75/325,473.75 = 325,473.75/x
  3. Step 3: Cross multiply
    243,318.75x = 325,473.75 × 325,473.75
  4. Step 4: Simplify right side
    243,318.75x = 105,933,161,939.06
  5. Step 5: Solve for x
    x = 105,933,161,939.06/243,318.75
  6. Step 6: Final answer
    x = 435,367.85

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.