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Finding the Third Proportional to 171,686.25 and 262,652.63

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Solution

The third proportional to 171,686.25 and 262,652.63 is: 401,816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,686.25 : 262,652.63 = 262,652.63 : x
  2. Step 2: Convert to fraction form
    171,686.25/262,652.63 = 262,652.63/x
  3. Step 3: Cross multiply
    171,686.25x = 262,652.63 × 262,652.63
  4. Step 4: Simplify right side
    171,686.25x = 68,986,401,419.39
  5. Step 5: Solve for x
    x = 68,986,401,419.39/171,686.25
  6. Step 6: Final answer
    x = 401,816.69

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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.