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Finding the Third Proportional to 131,307 and 208,443

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Solution

The third proportional to 131,307 and 208,443 is: 330,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,307 : 208,443 = 208,443 : x
  2. Step 2: Convert to fraction form
    131,307/208,443 = 208,443/x
  3. Step 3: Cross multiply
    131,307x = 208,443 × 208,443
  4. Step 4: Simplify right side
    131,307x = 43,448,484,249
  5. Step 5: Solve for x
    x = 43,448,484,249/131,307
  6. Step 6: Final answer
    x = 330,892.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.