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Finding the Third Proportional to 226,764 and 472,178

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Solution

The third proportional to 226,764 and 472,178 is: 983,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,764 : 472,178 = 472,178 : x
  2. Step 2: Convert to fraction form
    226,764/472,178 = 472,178/x
  3. Step 3: Cross multiply
    226,764x = 472,178 × 472,178
  4. Step 4: Simplify right side
    226,764x = 222,952,063,684
  5. Step 5: Solve for x
    x = 222,952,063,684/226,764
  6. Step 6: Final answer
    x = 983,189.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.