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Finding the Third Proportional to 96,252 and 233,247

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Solution

The third proportional to 96,252 and 233,247 is: 565,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,252 : 233,247 = 233,247 : x
  2. Step 2: Convert to fraction form
    96,252/233,247 = 233,247/x
  3. Step 3: Cross multiply
    96,252x = 233,247 × 233,247
  4. Step 4: Simplify right side
    96,252x = 54,404,163,009
  5. Step 5: Solve for x
    x = 54,404,163,009/96,252
  6. Step 6: Final answer
    x = 565,226.31

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.