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Finding the Third Proportional to 133,824 and 200,292

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Solution

The third proportional to 133,824 and 200,292 is: 299,773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,824 : 200,292 = 200,292 : x
  2. Step 2: Convert to fraction form
    133,824/200,292 = 200,292/x
  3. Step 3: Cross multiply
    133,824x = 200,292 × 200,292
  4. Step 4: Simplify right side
    133,824x = 40,116,885,264
  5. Step 5: Solve for x
    x = 40,116,885,264/133,824
  6. Step 6: Final answer
    x = 299,773.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.