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Finding the Third Proportional to 102,832 and 225,344

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Solution

The third proportional to 102,832 and 225,344 is: 493,814.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,832 : 225,344 = 225,344 : x
  2. Step 2: Convert to fraction form
    102,832/225,344 = 225,344/x
  3. Step 3: Cross multiply
    102,832x = 225,344 × 225,344
  4. Step 4: Simplify right side
    102,832x = 50,779,918,336
  5. Step 5: Solve for x
    x = 50,779,918,336/102,832
  6. Step 6: Final answer
    x = 493,814.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.