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Finding the Third Proportional to 122,568.50 and 264,831.50

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Solution

The third proportional to 122,568.50 and 264,831.50 is: 572,216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,568.50 : 264,831.50 = 264,831.50 : x
  2. Step 2: Convert to fraction form
    122,568.50/264,831.50 = 264,831.50/x
  3. Step 3: Cross multiply
    122,568.50x = 264,831.50 × 264,831.50
  4. Step 4: Simplify right side
    122,568.50x = 70,135,723,392.25
  5. Step 5: Solve for x
    x = 70,135,723,392.25/122,568.50
  6. Step 6: Final answer
    x = 572,216.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.