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Finding the Third Proportional to 197,446.50 and 313,857

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Solution

The third proportional to 197,446.50 and 313,857 is: 498,900.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,446.50 : 313,857 = 313,857 : x
  2. Step 2: Convert to fraction form
    197,446.50/313,857 = 313,857/x
  3. Step 3: Cross multiply
    197,446.50x = 313,857 × 313,857
  4. Step 4: Simplify right side
    197,446.50x = 98,506,216,449
  5. Step 5: Solve for x
    x = 98,506,216,449/197,446.50
  6. Step 6: Final answer
    x = 498,900.80

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.