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Finding the Third Proportional to 134,260 and 188,206

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Solution

The third proportional to 134,260 and 188,206 is: 263,827.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,260 : 188,206 = 188,206 : x
  2. Step 2: Convert to fraction form
    134,260/188,206 = 188,206/x
  3. Step 3: Cross multiply
    134,260x = 188,206 × 188,206
  4. Step 4: Simplify right side
    134,260x = 35,421,498,436
  5. Step 5: Solve for x
    x = 35,421,498,436/134,260
  6. Step 6: Final answer
    x = 263,827.64

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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.