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Finding the Third Proportional to 134,831.25 and 211,497.75

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Solution

The third proportional to 134,831.25 and 211,497.75 is: 331,757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,831.25 : 211,497.75 = 211,497.75 : x
  2. Step 2: Convert to fraction form
    134,831.25/211,497.75 = 211,497.75/x
  3. Step 3: Cross multiply
    134,831.25x = 211,497.75 × 211,497.75
  4. Step 4: Simplify right side
    134,831.25x = 44,731,298,255.06
  5. Step 5: Solve for x
    x = 44,731,298,255.06/134,831.25
  6. Step 6: Final answer
    x = 331,757.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.