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Finding the Third Proportional to 171,966 and 265,617

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Solution

The third proportional to 171,966 and 265,617 is: 410,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,966 : 265,617 = 265,617 : x
  2. Step 2: Convert to fraction form
    171,966/265,617 = 265,617/x
  3. Step 3: Cross multiply
    171,966x = 265,617 × 265,617
  4. Step 4: Simplify right side
    171,966x = 70,552,390,689
  5. Step 5: Solve for x
    x = 70,552,390,689/171,966
  6. Step 6: Final answer
    x = 410,269.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.