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Finding the Third Proportional to 96,664 and 232,858

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Solution

The third proportional to 96,664 and 232,858 is: 560,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,664 : 232,858 = 232,858 : x
  2. Step 2: Convert to fraction form
    96,664/232,858 = 232,858/x
  3. Step 3: Cross multiply
    96,664x = 232,858 × 232,858
  4. Step 4: Simplify right side
    96,664x = 54,222,848,164
  5. Step 5: Solve for x
    x = 54,222,848,164/96,664
  6. Step 6: Final answer
    x = 560,941.49

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.