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Finding the Third Proportional to 133,356 and 289,311

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Solution

The third proportional to 133,356 and 289,311 is: 627,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,356 : 289,311 = 289,311 : x
  2. Step 2: Convert to fraction form
    133,356/289,311 = 289,311/x
  3. Step 3: Cross multiply
    133,356x = 289,311 × 289,311
  4. Step 4: Simplify right side
    133,356x = 83,700,854,721
  5. Step 5: Solve for x
    x = 83,700,854,721/133,356
  6. Step 6: Final answer
    x = 627,649.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.