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Finding the Third Proportional to 134,270 and 188,221

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Solution

The third proportional to 134,270 and 188,221 is: 263,850.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,270 : 188,221 = 188,221 : x
  2. Step 2: Convert to fraction form
    134,270/188,221 = 188,221/x
  3. Step 3: Cross multiply
    134,270x = 188,221 × 188,221
  4. Step 4: Simplify right side
    134,270x = 35,427,144,841
  5. Step 5: Solve for x
    x = 35,427,144,841/134,270
  6. Step 6: Final answer
    x = 263,850.04

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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.