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Finding the Third Proportional to 226,916 and 301,006.50

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Solution

The third proportional to 226,916 and 301,006.50 is: 399,288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,916 : 301,006.50 = 301,006.50 : x
  2. Step 2: Convert to fraction form
    226,916/301,006.50 = 301,006.50/x
  3. Step 3: Cross multiply
    226,916x = 301,006.50 × 301,006.50
  4. Step 4: Simplify right side
    226,916x = 90,604,913,042.25
  5. Step 5: Solve for x
    x = 90,604,913,042.25/226,916
  6. Step 6: Final answer
    x = 399,288.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.