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Finding the Third Proportional to 199,394 and 430,096

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Solution

The third proportional to 199,394 and 430,096 is: 927,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,394 : 430,096 = 430,096 : x
  2. Step 2: Convert to fraction form
    199,394/430,096 = 430,096/x
  3. Step 3: Cross multiply
    199,394x = 430,096 × 430,096
  4. Step 4: Simplify right side
    199,394x = 184,982,569,216
  5. Step 5: Solve for x
    x = 184,982,569,216/199,394
  6. Step 6: Final answer
    x = 927,723.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.