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Finding the Third Proportional to 252,831.75 and 543,184.13

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Solution

The third proportional to 252,831.75 and 543,184.13 is: 1,166,977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,831.75 : 543,184.13 = 543,184.13 : x
  2. Step 2: Convert to fraction form
    252,831.75/543,184.13 = 543,184.13/x
  3. Step 3: Cross multiply
    252,831.75x = 543,184.13 × 543,184.13
  4. Step 4: Simplify right side
    252,831.75x = 295,048,993,652.02
  5. Step 5: Solve for x
    x = 295,048,993,652.02/252,831.75
  6. Step 6: Final answer
    x = 1,166,977.62

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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.