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Finding the Third Proportional to 199,500 and 315,861

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Solution

The third proportional to 199,500 and 315,861 is: 500,091.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,500 : 315,861 = 315,861 : x
  2. Step 2: Convert to fraction form
    199,500/315,861 = 315,861/x
  3. Step 3: Cross multiply
    199,500x = 315,861 × 315,861
  4. Step 4: Simplify right side
    199,500x = 99,768,171,321
  5. Step 5: Solve for x
    x = 99,768,171,321/199,500
  6. Step 6: Final answer
    x = 500,091.08

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.