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Finding the Third Proportional to 174,563.25 and 266,921.25

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Solution

The third proportional to 174,563.25 and 266,921.25 is: 408,144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,563.25 : 266,921.25 = 266,921.25 : x
  2. Step 2: Convert to fraction form
    174,563.25/266,921.25 = 266,921.25/x
  3. Step 3: Cross multiply
    174,563.25x = 266,921.25 × 266,921.25
  4. Step 4: Simplify right side
    174,563.25x = 71,246,953,701.56
  5. Step 5: Solve for x
    x = 71,246,953,701.56/174,563.25
  6. Step 6: Final answer
    x = 408,144.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.