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Finding the Third Proportional to 144,526 and 227,017

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Solution

The third proportional to 144,526 and 227,017 is: 356,591.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,526 : 227,017 = 227,017 : x
  2. Step 2: Convert to fraction form
    144,526/227,017 = 227,017/x
  3. Step 3: Cross multiply
    144,526x = 227,017 × 227,017
  4. Step 4: Simplify right side
    144,526x = 51,536,718,289
  5. Step 5: Solve for x
    x = 51,536,718,289/144,526
  6. Step 6: Final answer
    x = 356,591.33

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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.