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Finding the Third Proportional to 171,902 and 265,629

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Solution

The third proportional to 171,902 and 265,629 is: 410,459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,902 : 265,629 = 265,629 : x
  2. Step 2: Convert to fraction form
    171,902/265,629 = 265,629/x
  3. Step 3: Cross multiply
    171,902x = 265,629 × 265,629
  4. Step 4: Simplify right side
    171,902x = 70,558,765,641
  5. Step 5: Solve for x
    x = 70,558,765,641/171,902
  6. Step 6: Final answer
    x = 410,459.25

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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.