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Finding the Third Proportional to 205,138.83 and 301,052.32

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Solution

The third proportional to 205,138.83 and 301,052.32 is: 441,810.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,138.83 : 301,052.32 = 301,052.32 : x
  2. Step 2: Convert to fraction form
    205,138.83/301,052.32 = 301,052.32/x
  3. Step 3: Cross multiply
    205,138.83x = 301,052.32 × 301,052.32
  4. Step 4: Simplify right side
    205,138.83x = 90,632,499,565.54
  5. Step 5: Solve for x
    x = 90,632,499,565.54/205,138.83
  6. Step 6: Final answer
    x = 441,810.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.