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Finding the Third Proportional to 106,622 and 226,365

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Solution

The third proportional to 106,622 and 226,365 is: 480,586.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,622 : 226,365 = 226,365 : x
  2. Step 2: Convert to fraction form
    106,622/226,365 = 226,365/x
  3. Step 3: Cross multiply
    106,622x = 226,365 × 226,365
  4. Step 4: Simplify right side
    106,622x = 51,241,113,225
  5. Step 5: Solve for x
    x = 51,241,113,225/106,622
  6. Step 6: Final answer
    x = 480,586.68

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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.