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Finding the Third Proportional to 169,952 and 270,008

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Solution

The third proportional to 169,952 and 270,008 is: 428,970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,952 : 270,008 = 270,008 : x
  2. Step 2: Convert to fraction form
    169,952/270,008 = 270,008/x
  3. Step 3: Cross multiply
    169,952x = 270,008 × 270,008
  4. Step 4: Simplify right side
    169,952x = 72,904,320,064
  5. Step 5: Solve for x
    x = 72,904,320,064/169,952
  6. Step 6: Final answer
    x = 428,970.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.