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Finding the Third Proportional to 104,724 and 226,292

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Solution

The third proportional to 104,724 and 226,292 is: 488,981.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,724 : 226,292 = 226,292 : x
  2. Step 2: Convert to fraction form
    104,724/226,292 = 226,292/x
  3. Step 3: Cross multiply
    104,724x = 226,292 × 226,292
  4. Step 4: Simplify right side
    104,724x = 51,208,069,264
  5. Step 5: Solve for x
    x = 51,208,069,264/104,724
  6. Step 6: Final answer
    x = 488,981.22

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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.