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Finding the Third Proportional to 151,008 and 211,232

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Solution

The third proportional to 151,008 and 211,232 is: 295,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,008 : 211,232 = 211,232 : x
  2. Step 2: Convert to fraction form
    151,008/211,232 = 211,232/x
  3. Step 3: Cross multiply
    151,008x = 211,232 × 211,232
  4. Step 4: Simplify right side
    151,008x = 44,618,957,824
  5. Step 5: Solve for x
    x = 44,618,957,824/151,008
  6. Step 6: Final answer
    x = 295,474.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.