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Finding the Third Proportional to 158,831.44 and 309,682.69

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Solution

The third proportional to 158,831.44 and 309,682.69 is: 603,805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,831.44 : 309,682.69 = 309,682.69 : x
  2. Step 2: Convert to fraction form
    158,831.44/309,682.69 = 309,682.69/x
  3. Step 3: Cross multiply
    158,831.44x = 309,682.69 × 309,682.69
  4. Step 4: Simplify right side
    158,831.44x = 95,903,366,937.22
  5. Step 5: Solve for x
    x = 95,903,366,937.22/158,831.44
  6. Step 6: Final answer
    x = 603,805.95

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.