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Finding the Third Proportional to 171,958 and 265,609

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Solution

The third proportional to 171,958 and 265,609 is: 410,263.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,958 : 265,609 = 265,609 : x
  2. Step 2: Convert to fraction form
    171,958/265,609 = 265,609/x
  3. Step 3: Cross multiply
    171,958x = 265,609 × 265,609
  4. Step 4: Simplify right side
    171,958x = 70,548,140,881
  5. Step 5: Solve for x
    x = 70,548,140,881/171,958
  6. Step 6: Final answer
    x = 410,263.79

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