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Finding the Third Proportional to 141,894 and 305,313.75

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Solution

The third proportional to 141,894 and 305,313.75 is: 656,944.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,894 : 305,313.75 = 305,313.75 : x
  2. Step 2: Convert to fraction form
    141,894/305,313.75 = 305,313.75/x
  3. Step 3: Cross multiply
    141,894x = 305,313.75 × 305,313.75
  4. Step 4: Simplify right side
    141,894x = 93,216,485,939.06
  5. Step 5: Solve for x
    x = 93,216,485,939.06/141,894
  6. Step 6: Final answer
    x = 656,944.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.