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Finding the Third Proportional to 134,355.75 and 200,831.63

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Solution

The third proportional to 134,355.75 and 200,831.63 is: 300,198.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,355.75 : 200,831.63 = 200,831.63 : x
  2. Step 2: Convert to fraction form
    134,355.75/200,831.63 = 200,831.63/x
  3. Step 3: Cross multiply
    134,355.75x = 200,831.63 × 200,831.63
  4. Step 4: Simplify right side
    134,355.75x = 40,333,341,600.14
  5. Step 5: Solve for x
    x = 40,333,341,600.14/134,355.75
  6. Step 6: Final answer
    x = 300,198.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.