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Finding the Third Proportional to 131,322.38 and 256,083.75

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Solution

The third proportional to 131,322.38 and 256,083.75 is: 499,373.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,322.38 : 256,083.75 = 256,083.75 : x
  2. Step 2: Convert to fraction form
    131,322.38/256,083.75 = 256,083.75/x
  3. Step 3: Cross multiply
    131,322.38x = 256,083.75 × 256,083.75
  4. Step 4: Simplify right side
    131,322.38x = 65,578,887,014.06
  5. Step 5: Solve for x
    x = 65,578,887,014.06/131,322.38
  6. Step 6: Final answer
    x = 499,373.29

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.