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Finding the Third Proportional to 104,565 and 224,309

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Solution

The third proportional to 104,565 and 224,309 is: 481,179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,565 : 224,309 = 224,309 : x
  2. Step 2: Convert to fraction form
    104,565/224,309 = 224,309/x
  3. Step 3: Cross multiply
    104,565x = 224,309 × 224,309
  4. Step 4: Simplify right side
    104,565x = 50,314,527,481
  5. Step 5: Solve for x
    x = 50,314,527,481/104,565
  6. Step 6: Final answer
    x = 481,179.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.