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Finding the Third Proportional to 131,390.44 and 202,996.13

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Solution

The third proportional to 131,390.44 and 202,996.13 is: 313,625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,390.44 : 202,996.13 = 202,996.13 : x
  2. Step 2: Convert to fraction form
    131,390.44/202,996.13 = 202,996.13/x
  3. Step 3: Cross multiply
    131,390.44x = 202,996.13 × 202,996.13
  4. Step 4: Simplify right side
    131,390.44x = 41,207,426,765.02
  5. Step 5: Solve for x
    x = 41,207,426,765.02/131,390.44
  6. Step 6: Final answer
    x = 313,625.77

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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.