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Finding the Third Proportional to 110,190 and 241,140

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Solution

The third proportional to 110,190 and 241,140 is: 527,711.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,190 : 241,140 = 241,140 : x
  2. Step 2: Convert to fraction form
    110,190/241,140 = 241,140/x
  3. Step 3: Cross multiply
    110,190x = 241,140 × 241,140
  4. Step 4: Simplify right side
    110,190x = 58,148,499,600
  5. Step 5: Solve for x
    x = 58,148,499,600/110,190
  6. Step 6: Final answer
    x = 527,711.22

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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.