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Finding the Third Proportional to 227,070 and 308,526

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Solution

The third proportional to 227,070 and 308,526 is: 419,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,070 : 308,526 = 308,526 : x
  2. Step 2: Convert to fraction form
    227,070/308,526 = 308,526/x
  3. Step 3: Cross multiply
    227,070x = 308,526 × 308,526
  4. Step 4: Simplify right side
    227,070x = 95,188,292,676
  5. Step 5: Solve for x
    x = 95,188,292,676/227,070
  6. Step 6: Final answer
    x = 419,202.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.