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Finding the Third Proportional to 171,703.50 and 262,658.25

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Solution

The third proportional to 171,703.50 and 262,658.25 is: 401,793.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,703.50 : 262,658.25 = 262,658.25 : x
  2. Step 2: Convert to fraction form
    171,703.50/262,658.25 = 262,658.25/x
  3. Step 3: Cross multiply
    171,703.50x = 262,658.25 × 262,658.25
  4. Step 4: Simplify right side
    171,703.50x = 68,989,356,293.06
  5. Step 5: Solve for x
    x = 68,989,356,293.06/171,703.50
  6. Step 6: Final answer
    x = 401,793.54

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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.