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Finding the Third Proportional to 133,566 and 208,008

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Solution

The third proportional to 133,566 and 208,008 is: 323,939.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,566 : 208,008 = 208,008 : x
  2. Step 2: Convert to fraction form
    133,566/208,008 = 208,008/x
  3. Step 3: Cross multiply
    133,566x = 208,008 × 208,008
  4. Step 4: Simplify right side
    133,566x = 43,267,328,064
  5. Step 5: Solve for x
    x = 43,267,328,064/133,566
  6. Step 6: Final answer
    x = 323,939.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.