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Finding the Third Proportional to 110,288.50 and 241,581

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Solution

The third proportional to 110,288.50 and 241,581 is: 529,170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,288.50 : 241,581 = 241,581 : x
  2. Step 2: Convert to fraction form
    110,288.50/241,581 = 241,581/x
  3. Step 3: Cross multiply
    110,288.50x = 241,581 × 241,581
  4. Step 4: Simplify right side
    110,288.50x = 58,361,379,561
  5. Step 5: Solve for x
    x = 58,361,379,561/110,288.50
  6. Step 6: Final answer
    x = 529,170.13

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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.