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Finding the Third Proportional to 241,396 and 365,200

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Solution

The third proportional to 241,396 and 365,200 is: 552,498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,396 : 365,200 = 365,200 : x
  2. Step 2: Convert to fraction form
    241,396/365,200 = 365,200/x
  3. Step 3: Cross multiply
    241,396x = 365,200 × 365,200
  4. Step 4: Simplify right side
    241,396x = 133,371,040,000
  5. Step 5: Solve for x
    x = 133,371,040,000/241,396
  6. Step 6: Final answer
    x = 552,498.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.