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Finding the Third Proportional to 226,944 and 376,920

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Solution

The third proportional to 226,944 and 376,920 is: 626,007.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,944 : 376,920 = 376,920 : x
  2. Step 2: Convert to fraction form
    226,944/376,920 = 376,920/x
  3. Step 3: Cross multiply
    226,944x = 376,920 × 376,920
  4. Step 4: Simplify right side
    226,944x = 142,068,686,400
  5. Step 5: Solve for x
    x = 142,068,686,400/226,944
  6. Step 6: Final answer
    x = 626,007.68

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.