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Finding the Third Proportional to 141,336.56 and 307,584.56

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Solution

The third proportional to 141,336.56 and 307,584.56 is: 669,382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,336.56 : 307,584.56 = 307,584.56 : x
  2. Step 2: Convert to fraction form
    141,336.56/307,584.56 = 307,584.56/x
  3. Step 3: Cross multiply
    141,336.56x = 307,584.56 × 307,584.56
  4. Step 4: Simplify right side
    141,336.56x = 94,608,263,088.32
  5. Step 5: Solve for x
    x = 94,608,263,088.32/141,336.56
  6. Step 6: Final answer
    x = 669,382.79

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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.