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Finding the Third Proportional to 129,606 and 309,111

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Solution

The third proportional to 129,606 and 309,111 is: 737,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,606 : 309,111 = 309,111 : x
  2. Step 2: Convert to fraction form
    129,606/309,111 = 309,111/x
  3. Step 3: Cross multiply
    129,606x = 309,111 × 309,111
  4. Step 4: Simplify right side
    129,606x = 95,549,610,321
  5. Step 5: Solve for x
    x = 95,549,610,321/129,606
  6. Step 6: Final answer
    x = 737,231.38

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.