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Finding the Third Proportional to 112,349 and 241,222

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Solution

The third proportional to 112,349 and 241,222 is: 517,922.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,349 : 241,222 = 241,222 : x
  2. Step 2: Convert to fraction form
    112,349/241,222 = 241,222/x
  3. Step 3: Cross multiply
    112,349x = 241,222 × 241,222
  4. Step 4: Simplify right side
    112,349x = 58,188,053,284
  5. Step 5: Solve for x
    x = 58,188,053,284/112,349
  6. Step 6: Final answer
    x = 517,922.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.