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Finding the Third Proportional to 159,996.50 and 241,009

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Solution

The third proportional to 159,996.50 and 241,009 is: 363,041.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,996.50 : 241,009 = 241,009 : x
  2. Step 2: Convert to fraction form
    159,996.50/241,009 = 241,009/x
  3. Step 3: Cross multiply
    159,996.50x = 241,009 × 241,009
  4. Step 4: Simplify right side
    159,996.50x = 58,085,338,081
  5. Step 5: Solve for x
    x = 58,085,338,081/159,996.50
  6. Step 6: Final answer
    x = 363,041.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.