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Finding the Third Proportional to 134,274.38 and 188,228.81

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Solution

The third proportional to 134,274.38 and 188,228.81 is: 263,863.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,274.38 : 188,228.81 = 188,228.81 : x
  2. Step 2: Convert to fraction form
    134,274.38/188,228.81 = 188,228.81/x
  3. Step 3: Cross multiply
    134,274.38x = 188,228.81 × 188,228.81
  4. Step 4: Simplify right side
    134,274.38x = 35,430,085,855.16
  5. Step 5: Solve for x
    x = 35,430,085,855.16/134,274.38
  6. Step 6: Final answer
    x = 263,863.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.