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Finding the Third Proportional to 104,334 and 227,292

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Solution

The third proportional to 104,334 and 227,292 is: 495,156.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,334 : 227,292 = 227,292 : x
  2. Step 2: Convert to fraction form
    104,334/227,292 = 227,292/x
  3. Step 3: Cross multiply
    104,334x = 227,292 × 227,292
  4. Step 4: Simplify right side
    104,334x = 51,661,653,264
  5. Step 5: Solve for x
    x = 51,661,653,264/104,334
  6. Step 6: Final answer
    x = 495,156.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.