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Finding the Third Proportional to 134,444 and 188,422

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Solution

The third proportional to 134,444 and 188,422 is: 264,071.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,444 : 188,422 = 188,422 : x
  2. Step 2: Convert to fraction form
    134,444/188,422 = 188,422/x
  3. Step 3: Cross multiply
    134,444x = 188,422 × 188,422
  4. Step 4: Simplify right side
    134,444x = 35,502,850,084
  5. Step 5: Solve for x
    x = 35,502,850,084/134,444
  6. Step 6: Final answer
    x = 264,071.66

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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.