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Finding the Third Proportional to 143,664 and 227,373

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Solution

The third proportional to 143,664 and 227,373 is: 359,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,664 : 227,373 = 227,373 : x
  2. Step 2: Convert to fraction form
    143,664/227,373 = 227,373/x
  3. Step 3: Cross multiply
    143,664x = 227,373 × 227,373
  4. Step 4: Simplify right side
    143,664x = 51,698,481,129
  5. Step 5: Solve for x
    x = 51,698,481,129/143,664
  6. Step 6: Final answer
    x = 359,856.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.