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Finding the Third Proportional to 112,220 and 241,932

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Solution

The third proportional to 112,220 and 241,932 is: 521,574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,220 : 241,932 = 241,932 : x
  2. Step 2: Convert to fraction form
    112,220/241,932 = 241,932/x
  3. Step 3: Cross multiply
    112,220x = 241,932 × 241,932
  4. Step 4: Simplify right side
    112,220x = 58,531,092,624
  5. Step 5: Solve for x
    x = 58,531,092,624/112,220
  6. Step 6: Final answer
    x = 521,574.52

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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.