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Finding the Third Proportional to 151,600.50 and 232,021.50

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Solution

The third proportional to 151,600.50 and 232,021.50 is: 355,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,600.50 : 232,021.50 = 232,021.50 : x
  2. Step 2: Convert to fraction form
    151,600.50/232,021.50 = 232,021.50/x
  3. Step 3: Cross multiply
    151,600.50x = 232,021.50 × 232,021.50
  4. Step 4: Simplify right side
    151,600.50x = 53,833,976,462.25
  5. Step 5: Solve for x
    x = 53,833,976,462.25/151,600.50
  6. Step 6: Final answer
    x = 355,104.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.