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Finding the Third Proportional to 230,162 and 344,283

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Solution

The third proportional to 230,162 and 344,283 is: 514,988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,162 : 344,283 = 344,283 : x
  2. Step 2: Convert to fraction form
    230,162/344,283 = 344,283/x
  3. Step 3: Cross multiply
    230,162x = 344,283 × 344,283
  4. Step 4: Simplify right side
    230,162x = 118,530,784,089
  5. Step 5: Solve for x
    x = 118,530,784,089/230,162
  6. Step 6: Final answer
    x = 514,988.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.