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Finding the Third Proportional to 226,005.75 and 341,926.88

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Solution

The third proportional to 226,005.75 and 341,926.88 is: 517,305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,005.75 : 341,926.88 = 341,926.88 : x
  2. Step 2: Convert to fraction form
    226,005.75/341,926.88 = 341,926.88/x
  3. Step 3: Cross multiply
    226,005.75x = 341,926.88 × 341,926.88
  4. Step 4: Simplify right side
    226,005.75x = 116,913,987,847.27
  5. Step 5: Solve for x
    x = 116,913,987,847.27/226,005.75
  6. Step 6: Final answer
    x = 517,305.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.