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Finding the Third Proportional to 104,369 and 225,409

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Solution

The third proportional to 104,369 and 225,409 is: 486,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,369 : 225,409 = 225,409 : x
  2. Step 2: Convert to fraction form
    104,369/225,409 = 225,409/x
  3. Step 3: Cross multiply
    104,369x = 225,409 × 225,409
  4. Step 4: Simplify right side
    104,369x = 50,809,217,281
  5. Step 5: Solve for x
    x = 50,809,217,281/104,369
  6. Step 6: Final answer
    x = 486,822.88

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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.