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Finding the Third Proportional to 174,843.56 and 256,506.75

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Solution

The third proportional to 174,843.56 and 256,506.75 is: 376,311.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,843.56 : 256,506.75 = 256,506.75 : x
  2. Step 2: Convert to fraction form
    174,843.56/256,506.75 = 256,506.75/x
  3. Step 3: Cross multiply
    174,843.56x = 256,506.75 × 256,506.75
  4. Step 4: Simplify right side
    174,843.56x = 65,795,712,795.56
  5. Step 5: Solve for x
    x = 65,795,712,795.56/174,843.56
  6. Step 6: Final answer
    x = 376,311.90

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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.