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Finding the Third Proportional to 112,852 and 241,252

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Solution

The third proportional to 112,852 and 241,252 is: 515,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,852 : 241,252 = 241,252 : x
  2. Step 2: Convert to fraction form
    112,852/241,252 = 241,252/x
  3. Step 3: Cross multiply
    112,852x = 241,252 × 241,252
  4. Step 4: Simplify right side
    112,852x = 58,202,527,504
  5. Step 5: Solve for x
    x = 58,202,527,504/112,852
  6. Step 6: Final answer
    x = 515,742.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.