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Finding the Third Proportional to 141,387.75 and 303,016.50

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Solution

The third proportional to 141,387.75 and 303,016.50 is: 649,412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,387.75 : 303,016.50 = 303,016.50 : x
  2. Step 2: Convert to fraction form
    141,387.75/303,016.50 = 303,016.50/x
  3. Step 3: Cross multiply
    141,387.75x = 303,016.50 × 303,016.50
  4. Step 4: Simplify right side
    141,387.75x = 91,818,999,272.25
  5. Step 5: Solve for x
    x = 91,818,999,272.25/141,387.75
  6. Step 6: Final answer
    x = 649,412.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.