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Finding the Third Proportional to 174,845.25 and 256,530.75

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Solution

The third proportional to 174,845.25 and 256,530.75 is: 376,378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,845.25 : 256,530.75 = 256,530.75 : x
  2. Step 2: Convert to fraction form
    174,845.25/256,530.75 = 256,530.75/x
  3. Step 3: Cross multiply
    174,845.25x = 256,530.75 × 256,530.75
  4. Step 4: Simplify right side
    174,845.25x = 65,808,025,695.56
  5. Step 5: Solve for x
    x = 65,808,025,695.56/174,845.25
  6. Step 6: Final answer
    x = 376,378.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.