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Finding the Third Proportional to 104,644 and 222,352

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Solution

The third proportional to 104,644 and 222,352 is: 472,462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,644 : 222,352 = 222,352 : x
  2. Step 2: Convert to fraction form
    104,644/222,352 = 222,352/x
  3. Step 3: Cross multiply
    104,644x = 222,352 × 222,352
  4. Step 4: Simplify right side
    104,644x = 49,440,411,904
  5. Step 5: Solve for x
    x = 49,440,411,904/104,644
  6. Step 6: Final answer
    x = 472,462.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.