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Finding the Third Proportional to 170,343 and 231,439.78

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Solution

The third proportional to 170,343 and 231,439.78 is: 314,450.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,343 : 231,439.78 = 231,439.78 : x
  2. Step 2: Convert to fraction form
    170,343/231,439.78 = 231,439.78/x
  3. Step 3: Cross multiply
    170,343x = 231,439.78 × 231,439.78
  4. Step 4: Simplify right side
    170,343x = 53,564,372,345.05
  5. Step 5: Solve for x
    x = 53,564,372,345.05/170,343
  6. Step 6: Final answer
    x = 314,450.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.