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Finding the Third Proportional to 171,171 and 262,532

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Solution

The third proportional to 171,171 and 262,532 is: 402,656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,171 : 262,532 = 262,532 : x
  2. Step 2: Convert to fraction form
    171,171/262,532 = 262,532/x
  3. Step 3: Cross multiply
    171,171x = 262,532 × 262,532
  4. Step 4: Simplify right side
    171,171x = 68,923,051,024
  5. Step 5: Solve for x
    x = 68,923,051,024/171,171
  6. Step 6: Final answer
    x = 402,656.12

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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.