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Finding the Third Proportional to 226,736 and 353,892

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Solution

The third proportional to 226,736 and 353,892 is: 552,358.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,736 : 353,892 = 353,892 : x
  2. Step 2: Convert to fraction form
    226,736/353,892 = 353,892/x
  3. Step 3: Cross multiply
    226,736x = 353,892 × 353,892
  4. Step 4: Simplify right side
    226,736x = 125,239,547,664
  5. Step 5: Solve for x
    x = 125,239,547,664/226,736
  6. Step 6: Final answer
    x = 552,358.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.