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Finding the Third Proportional to 134,179 and 200,579

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Solution

The third proportional to 134,179 and 200,579 is: 299,837.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,179 : 200,579 = 200,579 : x
  2. Step 2: Convert to fraction form
    134,179/200,579 = 200,579/x
  3. Step 3: Cross multiply
    134,179x = 200,579 × 200,579
  4. Step 4: Simplify right side
    134,179x = 40,231,935,241
  5. Step 5: Solve for x
    x = 40,231,935,241/134,179
  6. Step 6: Final answer
    x = 299,837.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.