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Finding the Third Proportional to 134,359 and 200,836

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Solution

The third proportional to 134,359 and 200,836 is: 300,203.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,359 : 200,836 = 200,836 : x
  2. Step 2: Convert to fraction form
    134,359/200,836 = 200,836/x
  3. Step 3: Cross multiply
    134,359x = 200,836 × 200,836
  4. Step 4: Simplify right side
    134,359x = 40,335,098,896
  5. Step 5: Solve for x
    x = 40,335,098,896/134,359
  6. Step 6: Final answer
    x = 300,203.92

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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.