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Finding the Third Proportional to 133,936 and 281,664

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Solution

The third proportional to 133,936 and 281,664 is: 592,332.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,936 : 281,664 = 281,664 : x
  2. Step 2: Convert to fraction form
    133,936/281,664 = 281,664/x
  3. Step 3: Cross multiply
    133,936x = 281,664 × 281,664
  4. Step 4: Simplify right side
    133,936x = 79,334,608,896
  5. Step 5: Solve for x
    x = 79,334,608,896/133,936
  6. Step 6: Final answer
    x = 592,332.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.