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Finding the Third Proportional to 134,002 and 208,382

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Solution

The third proportional to 134,002 and 208,382 is: 324,047.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,002 : 208,382 = 208,382 : x
  2. Step 2: Convert to fraction form
    134,002/208,382 = 208,382/x
  3. Step 3: Cross multiply
    134,002x = 208,382 × 208,382
  4. Step 4: Simplify right side
    134,002x = 43,423,057,924
  5. Step 5: Solve for x
    x = 43,423,057,924/134,002
  6. Step 6: Final answer
    x = 324,047.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.