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Finding the Third Proportional to 131,307 and 280,109

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Solution

The third proportional to 131,307 and 280,109 is: 597,538.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,307 : 280,109 = 280,109 : x
  2. Step 2: Convert to fraction form
    131,307/280,109 = 280,109/x
  3. Step 3: Cross multiply
    131,307x = 280,109 × 280,109
  4. Step 4: Simplify right side
    131,307x = 78,461,051,881
  5. Step 5: Solve for x
    x = 78,461,051,881/131,307
  6. Step 6: Final answer
    x = 597,538.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.