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Finding the Third Proportional to 131,322.50 and 256,081

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Solution

The third proportional to 131,322.50 and 256,081 is: 499,362.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,322.50 : 256,081 = 256,081 : x
  2. Step 2: Convert to fraction form
    131,322.50/256,081 = 256,081/x
  3. Step 3: Cross multiply
    131,322.50x = 256,081 × 256,081
  4. Step 4: Simplify right side
    131,322.50x = 65,577,478,561
  5. Step 5: Solve for x
    x = 65,577,478,561/131,322.50
  6. Step 6: Final answer
    x = 499,362.09

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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.