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Finding the Third Proportional to 159,603.75 and 241,309.13

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Solution

The third proportional to 159,603.75 and 241,309.13 is: 364,841.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,603.75 : 241,309.13 = 241,309.13 : x
  2. Step 2: Convert to fraction form
    159,603.75/241,309.13 = 241,309.13/x
  3. Step 3: Cross multiply
    159,603.75x = 241,309.13 × 241,309.13
  4. Step 4: Simplify right side
    159,603.75x = 58,230,093,808.27
  5. Step 5: Solve for x
    x = 58,230,093,808.27/159,603.75
  6. Step 6: Final answer
    x = 364,841.64

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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.