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Finding the Third Proportional to 134,248 and 188,184

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Solution

The third proportional to 134,248 and 188,184 is: 263,789.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,248 : 188,184 = 188,184 : x
  2. Step 2: Convert to fraction form
    134,248/188,184 = 188,184/x
  3. Step 3: Cross multiply
    134,248x = 188,184 × 188,184
  4. Step 4: Simplify right side
    134,248x = 35,413,217,856
  5. Step 5: Solve for x
    x = 35,413,217,856/134,248
  6. Step 6: Final answer
    x = 263,789.54

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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.