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Finding the Third Proportional to 192,831.47 and 415,295.72

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Solution

The third proportional to 192,831.47 and 415,295.72 is: 894,410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,831.47 : 415,295.72 = 415,295.72 : x
  2. Step 2: Convert to fraction form
    192,831.47/415,295.72 = 415,295.72/x
  3. Step 3: Cross multiply
    192,831.47x = 415,295.72 × 415,295.72
  4. Step 4: Simplify right side
    192,831.47x = 172,470,534,012.08
  5. Step 5: Solve for x
    x = 172,470,534,012.08/192,831.47
  6. Step 6: Final answer
    x = 894,410.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.