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Finding the Third Proportional to 203,500.50 and 442,032

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Solution

The third proportional to 203,500.50 and 442,032 is: 960,156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,500.50 : 442,032 = 442,032 : x
  2. Step 2: Convert to fraction form
    203,500.50/442,032 = 442,032/x
  3. Step 3: Cross multiply
    203,500.50x = 442,032 × 442,032
  4. Step 4: Simplify right side
    203,500.50x = 195,392,289,024
  5. Step 5: Solve for x
    x = 195,392,289,024/203,500.50
  6. Step 6: Final answer
    x = 960,156.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.