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Finding the Third Proportional to 199,148 and 430,096

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Solution

The third proportional to 199,148 and 430,096 is: 928,869.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,148 : 430,096 = 430,096 : x
  2. Step 2: Convert to fraction form
    199,148/430,096 = 430,096/x
  3. Step 3: Cross multiply
    199,148x = 430,096 × 430,096
  4. Step 4: Simplify right side
    199,148x = 184,982,569,216
  5. Step 5: Solve for x
    x = 184,982,569,216/199,148
  6. Step 6: Final answer
    x = 928,869.83

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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.