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Finding the Third Proportional to 231,856 and 368,536

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Solution

The third proportional to 231,856 and 368,536 is: 585,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,856 : 368,536 = 368,536 : x
  2. Step 2: Convert to fraction form
    231,856/368,536 = 368,536/x
  3. Step 3: Cross multiply
    231,856x = 368,536 × 368,536
  4. Step 4: Simplify right side
    231,856x = 135,818,783,296
  5. Step 5: Solve for x
    x = 135,818,783,296/231,856
  6. Step 6: Final answer
    x = 585,789.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.