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Finding the Third Proportional to 174,858.75 and 256,525.31

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Solution

The third proportional to 174,858.75 and 256,525.31 is: 376,333.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,858.75 : 256,525.31 = 256,525.31 : x
  2. Step 2: Convert to fraction form
    174,858.75/256,525.31 = 256,525.31/x
  3. Step 3: Cross multiply
    174,858.75x = 256,525.31 × 256,525.31
  4. Step 4: Simplify right side
    174,858.75x = 65,805,235,953.22
  5. Step 5: Solve for x
    x = 65,805,235,953.22/174,858.75
  6. Step 6: Final answer
    x = 376,333.67

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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.