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Finding the Third Proportional to 164,285 and 353,107

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Solution

The third proportional to 164,285 and 353,107 is: 758,952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,285 : 353,107 = 353,107 : x
  2. Step 2: Convert to fraction form
    164,285/353,107 = 353,107/x
  3. Step 3: Cross multiply
    164,285x = 353,107 × 353,107
  4. Step 4: Simplify right side
    164,285x = 124,684,553,449
  5. Step 5: Solve for x
    x = 124,684,553,449/164,285
  6. Step 6: Final answer
    x = 758,952.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.