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Finding the Third Proportional to 144,524 and 227,014

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Solution

The third proportional to 144,524 and 227,014 is: 356,586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,524 : 227,014 = 227,014 : x
  2. Step 2: Convert to fraction form
    144,524/227,014 = 227,014/x
  3. Step 3: Cross multiply
    144,524x = 227,014 × 227,014
  4. Step 4: Simplify right side
    144,524x = 51,535,356,196
  5. Step 5: Solve for x
    x = 51,535,356,196/144,524
  6. Step 6: Final answer
    x = 356,586.84

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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.