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Finding the Third Proportional to 131,951 and 204,447

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Solution

The third proportional to 131,951 and 204,447 is: 316,773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,951 : 204,447 = 204,447 : x
  2. Step 2: Convert to fraction form
    131,951/204,447 = 204,447/x
  3. Step 3: Cross multiply
    131,951x = 204,447 × 204,447
  4. Step 4: Simplify right side
    131,951x = 41,798,575,809
  5. Step 5: Solve for x
    x = 41,798,575,809/131,951
  6. Step 6: Final answer
    x = 316,773.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.