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Finding the Third Proportional to 171,607.50 and 262,518.75

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Solution

The third proportional to 171,607.50 and 262,518.75 is: 401,591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,607.50 : 262,518.75 = 262,518.75 : x
  2. Step 2: Convert to fraction form
    171,607.50/262,518.75 = 262,518.75/x
  3. Step 3: Cross multiply
    171,607.50x = 262,518.75 × 262,518.75
  4. Step 4: Simplify right side
    171,607.50x = 68,916,094,101.56
  5. Step 5: Solve for x
    x = 68,916,094,101.56/171,607.50
  6. Step 6: Final answer
    x = 401,591.39

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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.