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Finding the Third Proportional to 131,391 and 202,997

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Solution

The third proportional to 131,391 and 202,997 is: 313,627.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,391 : 202,997 = 202,997 : x
  2. Step 2: Convert to fraction form
    131,391/202,997 = 202,997/x
  3. Step 3: Cross multiply
    131,391x = 202,997 × 202,997
  4. Step 4: Simplify right side
    131,391x = 41,207,782,009
  5. Step 5: Solve for x
    x = 41,207,782,009/131,391
  6. Step 6: Final answer
    x = 313,627.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.