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Finding the Third Proportional to 122,171 and 265,231

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Solution

The third proportional to 122,171 and 265,231 is: 575,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,171 : 265,231 = 265,231 : x
  2. Step 2: Convert to fraction form
    122,171/265,231 = 265,231/x
  3. Step 3: Cross multiply
    122,171x = 265,231 × 265,231
  4. Step 4: Simplify right side
    122,171x = 70,347,483,361
  5. Step 5: Solve for x
    x = 70,347,483,361/122,171
  6. Step 6: Final answer
    x = 575,811.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.