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Finding the Third Proportional to 197,797.50 and 314,475.75

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Solution

The third proportional to 197,797.50 and 314,475.75 is: 499,981.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,797.50 : 314,475.75 = 314,475.75 : x
  2. Step 2: Convert to fraction form
    197,797.50/314,475.75 = 314,475.75/x
  3. Step 3: Cross multiply
    197,797.50x = 314,475.75 × 314,475.75
  4. Step 4: Simplify right side
    197,797.50x = 98,894,997,338.06
  5. Step 5: Solve for x
    x = 98,894,997,338.06/197,797.50
  6. Step 6: Final answer
    x = 499,981.03

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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.