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Finding the Third Proportional to 172,008 and 265,676

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Solution

The third proportional to 172,008 and 265,676 is: 410,351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,008 : 265,676 = 265,676 : x
  2. Step 2: Convert to fraction form
    172,008/265,676 = 265,676/x
  3. Step 3: Cross multiply
    172,008x = 265,676 × 265,676
  4. Step 4: Simplify right side
    172,008x = 70,583,736,976
  5. Step 5: Solve for x
    x = 70,583,736,976/172,008
  6. Step 6: Final answer
    x = 410,351.48

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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.