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Finding the Third Proportional to 199,558 and 315,935

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Solution

The third proportional to 199,558 and 315,935 is: 500,180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,558 : 315,935 = 315,935 : x
  2. Step 2: Convert to fraction form
    199,558/315,935 = 315,935/x
  3. Step 3: Cross multiply
    199,558x = 315,935 × 315,935
  4. Step 4: Simplify right side
    199,558x = 99,814,924,225
  5. Step 5: Solve for x
    x = 99,814,924,225/199,558
  6. Step 6: Final answer
    x = 500,180.02

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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.