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Finding the Third Proportional to 102,535 and 225,232

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Solution

The third proportional to 102,535 and 225,232 is: 494,752.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,535 : 225,232 = 225,232 : x
  2. Step 2: Convert to fraction form
    102,535/225,232 = 225,232/x
  3. Step 3: Cross multiply
    102,535x = 225,232 × 225,232
  4. Step 4: Simplify right side
    102,535x = 50,729,453,824
  5. Step 5: Solve for x
    x = 50,729,453,824/102,535
  6. Step 6: Final answer
    x = 494,752.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.