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Finding the Third Proportional to 104,362 and 225,740

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Solution

The third proportional to 104,362 and 225,740 is: 488,286.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,362 : 225,740 = 225,740 : x
  2. Step 2: Convert to fraction form
    104,362/225,740 = 225,740/x
  3. Step 3: Cross multiply
    104,362x = 225,740 × 225,740
  4. Step 4: Simplify right side
    104,362x = 50,958,547,600
  5. Step 5: Solve for x
    x = 50,958,547,600/104,362
  6. Step 6: Final answer
    x = 488,286.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.