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Finding the Third Proportional to 117,733.50 and 256,485.75

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Solution

The third proportional to 117,733.50 and 256,485.75 is: 558,761.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,733.50 : 256,485.75 = 256,485.75 : x
  2. Step 2: Convert to fraction form
    117,733.50/256,485.75 = 256,485.75/x
  3. Step 3: Cross multiply
    117,733.50x = 256,485.75 × 256,485.75
  4. Step 4: Simplify right side
    117,733.50x = 65,784,939,953.06
  5. Step 5: Solve for x
    x = 65,784,939,953.06/117,733.50
  6. Step 6: Final answer
    x = 558,761.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.