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Finding the Third Proportional to 171,997 and 265,664

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Solution

The third proportional to 171,997 and 265,664 is: 410,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,997 : 265,664 = 265,664 : x
  2. Step 2: Convert to fraction form
    171,997/265,664 = 265,664/x
  3. Step 3: Cross multiply
    171,997x = 265,664 × 265,664
  4. Step 4: Simplify right side
    171,997x = 70,577,360,896
  5. Step 5: Solve for x
    x = 70,577,360,896/171,997
  6. Step 6: Final answer
    x = 410,340.65

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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.