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Finding the Third Proportional to 135,904 and 307,041

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Solution

The third proportional to 135,904 and 307,041 is: 693,682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,904 : 307,041 = 307,041 : x
  2. Step 2: Convert to fraction form
    135,904/307,041 = 307,041/x
  3. Step 3: Cross multiply
    135,904x = 307,041 × 307,041
  4. Step 4: Simplify right side
    135,904x = 94,274,175,681
  5. Step 5: Solve for x
    x = 94,274,175,681/135,904
  6. Step 6: Final answer
    x = 693,682.13

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.