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Finding the Third Proportional to 141,574.50 and 308,016

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Solution

The third proportional to 141,574.50 and 308,016 is: 670,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,574.50 : 308,016 = 308,016 : x
  2. Step 2: Convert to fraction form
    141,574.50/308,016 = 308,016/x
  3. Step 3: Cross multiply
    141,574.50x = 308,016 × 308,016
  4. Step 4: Simplify right side
    141,574.50x = 94,873,856,256
  5. Step 5: Solve for x
    x = 94,873,856,256/141,574.50
  6. Step 6: Final answer
    x = 670,133.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.