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Finding the Third Proportional to 134,066 and 208,456

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Solution

The third proportional to 134,066 and 208,456 is: 324,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,066 : 208,456 = 208,456 : x
  2. Step 2: Convert to fraction form
    134,066/208,456 = 208,456/x
  3. Step 3: Cross multiply
    134,066x = 208,456 × 208,456
  4. Step 4: Simplify right side
    134,066x = 43,453,903,936
  5. Step 5: Solve for x
    x = 43,453,903,936/134,066
  6. Step 6: Final answer
    x = 324,123.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.