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Finding the Third Proportional to 174,831.75 and 375,151.50

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Solution

The third proportional to 174,831.75 and 375,151.50 is: 804,994.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,831.75 : 375,151.50 = 375,151.50 : x
  2. Step 2: Convert to fraction form
    174,831.75/375,151.50 = 375,151.50/x
  3. Step 3: Cross multiply
    174,831.75x = 375,151.50 × 375,151.50
  4. Step 4: Simplify right side
    174,831.75x = 140,738,647,952.25
  5. Step 5: Solve for x
    x = 140,738,647,952.25/174,831.75
  6. Step 6: Final answer
    x = 804,994.79

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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.