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Finding the Third Proportional to 171,036.75 and 264,857.25

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Solution

The third proportional to 171,036.75 and 264,857.25 is: 410,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,036.75 : 264,857.25 = 264,857.25 : x
  2. Step 2: Convert to fraction form
    171,036.75/264,857.25 = 264,857.25/x
  3. Step 3: Cross multiply
    171,036.75x = 264,857.25 × 264,857.25
  4. Step 4: Simplify right side
    171,036.75x = 70,149,362,877.56
  5. Step 5: Solve for x
    x = 70,149,362,877.56/171,036.75
  6. Step 6: Final answer
    x = 410,142.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.