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Finding the Third Proportional to 104,830 and 226,345

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Solution

The third proportional to 104,830 and 226,345 is: 488,715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,830 : 226,345 = 226,345 : x
  2. Step 2: Convert to fraction form
    104,830/226,345 = 226,345/x
  3. Step 3: Cross multiply
    104,830x = 226,345 × 226,345
  4. Step 4: Simplify right side
    104,830x = 51,232,059,025
  5. Step 5: Solve for x
    x = 51,232,059,025/104,830
  6. Step 6: Final answer
    x = 488,715.63

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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.