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Finding the Third Proportional to 131,345 and 208,013

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Solution

The third proportional to 131,345 and 208,013 is: 329,433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,345 : 208,013 = 208,013 : x
  2. Step 2: Convert to fraction form
    131,345/208,013 = 208,013/x
  3. Step 3: Cross multiply
    131,345x = 208,013 × 208,013
  4. Step 4: Simplify right side
    131,345x = 43,269,408,169
  5. Step 5: Solve for x
    x = 43,269,408,169/131,345
  6. Step 6: Final answer
    x = 329,433.23

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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.