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Finding the Third Proportional to 134,550 and 283,041

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Solution

The third proportional to 134,550 and 283,041 is: 595,408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,550 : 283,041 = 283,041 : x
  2. Step 2: Convert to fraction form
    134,550/283,041 = 283,041/x
  3. Step 3: Cross multiply
    134,550x = 283,041 × 283,041
  4. Step 4: Simplify right side
    134,550x = 80,112,207,681
  5. Step 5: Solve for x
    x = 80,112,207,681/134,550
  6. Step 6: Final answer
    x = 595,408.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.