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Finding the Third Proportional to 112,226 and 241,944

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Solution

The third proportional to 112,226 and 241,944 is: 521,598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,226 : 241,944 = 241,944 : x
  2. Step 2: Convert to fraction form
    112,226/241,944 = 241,944/x
  3. Step 3: Cross multiply
    112,226x = 241,944 × 241,944
  4. Step 4: Simplify right side
    112,226x = 58,536,899,136
  5. Step 5: Solve for x
    x = 58,536,899,136/112,226
  6. Step 6: Final answer
    x = 521,598.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.