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Finding the Third Proportional to 129,922 and 284,670

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Solution

The third proportional to 129,922 and 284,670 is: 623,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,922 : 284,670 = 284,670 : x
  2. Step 2: Convert to fraction form
    129,922/284,670 = 284,670/x
  3. Step 3: Cross multiply
    129,922x = 284,670 × 284,670
  4. Step 4: Simplify right side
    129,922x = 81,037,008,900
  5. Step 5: Solve for x
    x = 81,037,008,900/129,922
  6. Step 6: Final answer
    x = 623,735.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.