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Finding the Third Proportional to 151,922 and 235,847

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Solution

The third proportional to 151,922 and 235,847 is: 366,133.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,922 : 235,847 = 235,847 : x
  2. Step 2: Convert to fraction form
    151,922/235,847 = 235,847/x
  3. Step 3: Cross multiply
    151,922x = 235,847 × 235,847
  4. Step 4: Simplify right side
    151,922x = 55,623,807,409
  5. Step 5: Solve for x
    x = 55,623,807,409/151,922
  6. Step 6: Final answer
    x = 366,133.99

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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.