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Finding the Third Proportional to 134,357.63 and 203,049

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Solution

The third proportional to 134,357.63 and 203,049 is: 306,859.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,357.63 : 203,049 = 203,049 : x
  2. Step 2: Convert to fraction form
    134,357.63/203,049 = 203,049/x
  3. Step 3: Cross multiply
    134,357.63x = 203,049 × 203,049
  4. Step 4: Simplify right side
    134,357.63x = 41,228,896,401
  5. Step 5: Solve for x
    x = 41,228,896,401/134,357.63
  6. Step 6: Final answer
    x = 306,859.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.