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Finding the Third Proportional to 79,831.50 and 175,215

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Solution

The third proportional to 79,831.50 and 175,215 is: 384,563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,831.50 : 175,215 = 175,215 : x
  2. Step 2: Convert to fraction form
    79,831.50/175,215 = 175,215/x
  3. Step 3: Cross multiply
    79,831.50x = 175,215 × 175,215
  4. Step 4: Simplify right side
    79,831.50x = 30,700,296,225
  5. Step 5: Solve for x
    x = 30,700,296,225/79,831.50
  6. Step 6: Final answer
    x = 384,563.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.