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Finding the Third Proportional to 112,202 and 241,900

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Solution

The third proportional to 112,202 and 241,900 is: 521,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,202 : 241,900 = 241,900 : x
  2. Step 2: Convert to fraction form
    112,202/241,900 = 241,900/x
  3. Step 3: Cross multiply
    112,202x = 241,900 × 241,900
  4. Step 4: Simplify right side
    112,202x = 58,515,610,000
  5. Step 5: Solve for x
    x = 58,515,610,000/112,202
  6. Step 6: Final answer
    x = 521,520.20

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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.