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Finding the Third Proportional to 144,529 and 227,021.50

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Solution

The third proportional to 144,529 and 227,021.50 is: 356,598.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,529 : 227,021.50 = 227,021.50 : x
  2. Step 2: Convert to fraction form
    144,529/227,021.50 = 227,021.50/x
  3. Step 3: Cross multiply
    144,529x = 227,021.50 × 227,021.50
  4. Step 4: Simplify right side
    144,529x = 51,538,761,462.25
  5. Step 5: Solve for x
    x = 51,538,761,462.25/144,529
  6. Step 6: Final answer
    x = 356,598.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.