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Finding the Third Proportional to 106,625.50 and 226,371

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Solution

The third proportional to 106,625.50 and 226,371 is: 480,596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,625.50 : 226,371 = 226,371 : x
  2. Step 2: Convert to fraction form
    106,625.50/226,371 = 226,371/x
  3. Step 3: Cross multiply
    106,625.50x = 226,371 × 226,371
  4. Step 4: Simplify right side
    106,625.50x = 51,243,829,641
  5. Step 5: Solve for x
    x = 51,243,829,641/106,625.50
  6. Step 6: Final answer
    x = 480,596.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.