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Finding the Third Proportional to 231,633 and 348,006

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Solution

The third proportional to 231,633 and 348,006 is: 522,845.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,633 : 348,006 = 348,006 : x
  2. Step 2: Convert to fraction form
    231,633/348,006 = 348,006/x
  3. Step 3: Cross multiply
    231,633x = 348,006 × 348,006
  4. Step 4: Simplify right side
    231,633x = 121,108,176,036
  5. Step 5: Solve for x
    x = 121,108,176,036/231,633
  6. Step 6: Final answer
    x = 522,845.09

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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.