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Finding the Third Proportional to 174,777.75 and 256,385.25

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Solution

The third proportional to 174,777.75 and 256,385.25 is: 376,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,777.75 : 256,385.25 = 256,385.25 : x
  2. Step 2: Convert to fraction form
    174,777.75/256,385.25 = 256,385.25/x
  3. Step 3: Cross multiply
    174,777.75x = 256,385.25 × 256,385.25
  4. Step 4: Simplify right side
    174,777.75x = 65,733,396,417.56
  5. Step 5: Solve for x
    x = 65,733,396,417.56/174,777.75
  6. Step 6: Final answer
    x = 376,097.05

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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.