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Finding the Third Proportional to 110,047 and 241,189

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Solution

The third proportional to 110,047 and 241,189 is: 528,611.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,047 : 241,189 = 241,189 : x
  2. Step 2: Convert to fraction form
    110,047/241,189 = 241,189/x
  3. Step 3: Cross multiply
    110,047x = 241,189 × 241,189
  4. Step 4: Simplify right side
    110,047x = 58,172,133,721
  5. Step 5: Solve for x
    x = 58,172,133,721/110,047
  6. Step 6: Final answer
    x = 528,611.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.