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Finding the Third Proportional to 109,833 and 241,050

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Solution

The third proportional to 109,833 and 241,050 is: 529,031.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,833 : 241,050 = 241,050 : x
  2. Step 2: Convert to fraction form
    109,833/241,050 = 241,050/x
  3. Step 3: Cross multiply
    109,833x = 241,050 × 241,050
  4. Step 4: Simplify right side
    109,833x = 58,105,102,500
  5. Step 5: Solve for x
    x = 58,105,102,500/109,833
  6. Step 6: Final answer
    x = 529,031.37

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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.