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Finding the Third Proportional to 171,964 and 265,722

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Solution

The third proportional to 171,964 and 265,722 is: 410,598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,964 : 265,722 = 265,722 : x
  2. Step 2: Convert to fraction form
    171,964/265,722 = 265,722/x
  3. Step 3: Cross multiply
    171,964x = 265,722 × 265,722
  4. Step 4: Simplify right side
    171,964x = 70,608,181,284
  5. Step 5: Solve for x
    x = 70,608,181,284/171,964
  6. Step 6: Final answer
    x = 410,598.62

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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.