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Finding the Third Proportional to 131,349 and 208,020

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Solution

The third proportional to 131,349 and 208,020 is: 329,445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,349 : 208,020 = 208,020 : x
  2. Step 2: Convert to fraction form
    131,349/208,020 = 208,020/x
  3. Step 3: Cross multiply
    131,349x = 208,020 × 208,020
  4. Step 4: Simplify right side
    131,349x = 43,272,320,400
  5. Step 5: Solve for x
    x = 43,272,320,400/131,349
  6. Step 6: Final answer
    x = 329,445.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.