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Finding the Third Proportional to 203,493.52 and 434,005.59

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Solution

The third proportional to 203,493.52 and 434,005.59 is: 925,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,493.52 : 434,005.59 = 434,005.59 : x
  2. Step 2: Convert to fraction form
    203,493.52/434,005.59 = 434,005.59/x
  3. Step 3: Cross multiply
    203,493.52x = 434,005.59 × 434,005.59
  4. Step 4: Simplify right side
    203,493.52x = 188,360,855,406.29
  5. Step 5: Solve for x
    x = 188,360,855,406.29/203,493.52
  6. Step 6: Final answer
    x = 925,635.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.