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Finding the Third Proportional to 134,406 and 188,382

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Solution

The third proportional to 134,406 and 188,382 is: 264,034.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,406 : 188,382 = 188,382 : x
  2. Step 2: Convert to fraction form
    134,406/188,382 = 188,382/x
  3. Step 3: Cross multiply
    134,406x = 188,382 × 188,382
  4. Step 4: Simplify right side
    134,406x = 35,487,777,924
  5. Step 5: Solve for x
    x = 35,487,777,924/134,406
  6. Step 6: Final answer
    x = 264,034.18

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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.