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Finding the Third Proportional to 171,524 and 265,062

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Solution

The third proportional to 171,524 and 265,062 is: 409,609.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,524 : 265,062 = 265,062 : x
  2. Step 2: Convert to fraction form
    171,524/265,062 = 265,062/x
  3. Step 3: Cross multiply
    171,524x = 265,062 × 265,062
  4. Step 4: Simplify right side
    171,524x = 70,257,863,844
  5. Step 5: Solve for x
    x = 70,257,863,844/171,524
  6. Step 6: Final answer
    x = 409,609.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.