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Finding the Third Proportional to 203,913.70 and 437,351.91

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Solution

The third proportional to 203,913.70 and 437,351.91 is: 938,027.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,913.70 : 437,351.91 = 437,351.91 : x
  2. Step 2: Convert to fraction form
    203,913.70/437,351.91 = 437,351.91/x
  3. Step 3: Cross multiply
    203,913.70x = 437,351.91 × 437,351.91
  4. Step 4: Simplify right side
    203,913.70x = 191,276,689,900.51
  5. Step 5: Solve for x
    x = 191,276,689,900.51/203,913.70
  6. Step 6: Final answer
    x = 938,027.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.