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Finding the Third Proportional to 226,726.78 and 338,905.50

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Solution

The third proportional to 226,726.78 and 338,905.50 is: 506,587.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,726.78 : 338,905.50 = 338,905.50 : x
  2. Step 2: Convert to fraction form
    226,726.78/338,905.50 = 338,905.50/x
  3. Step 3: Cross multiply
    226,726.78x = 338,905.50 × 338,905.50
  4. Step 4: Simplify right side
    226,726.78x = 114,856,937,930.25
  5. Step 5: Solve for x
    x = 114,856,937,930.25/226,726.78
  6. Step 6: Final answer
    x = 506,587.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.