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Finding the Third Proportional to 226,909 and 376,867.50

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Solution

The third proportional to 226,909 and 376,867.50 is: 625,929.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,909 : 376,867.50 = 376,867.50 : x
  2. Step 2: Convert to fraction form
    226,909/376,867.50 = 376,867.50/x
  3. Step 3: Cross multiply
    226,909x = 376,867.50 × 376,867.50
  4. Step 4: Simplify right side
    226,909x = 142,029,112,556.25
  5. Step 5: Solve for x
    x = 142,029,112,556.25/226,909
  6. Step 6: Final answer
    x = 625,929.83

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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.