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Finding the Third Proportional to 129,735 and 279,477

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Solution

The third proportional to 129,735 and 279,477 is: 602,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,735 : 279,477 = 279,477 : x
  2. Step 2: Convert to fraction form
    129,735/279,477 = 279,477/x
  3. Step 3: Cross multiply
    129,735x = 279,477 × 279,477
  4. Step 4: Simplify right side
    129,735x = 78,107,393,529
  5. Step 5: Solve for x
    x = 78,107,393,529/129,735
  6. Step 6: Final answer
    x = 602,053.37

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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.