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Finding the Third Proportional to 241,388 and 365,970

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Solution

The third proportional to 241,388 and 365,970 is: 554,849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,388 : 365,970 = 365,970 : x
  2. Step 2: Convert to fraction form
    241,388/365,970 = 365,970/x
  3. Step 3: Cross multiply
    241,388x = 365,970 × 365,970
  4. Step 4: Simplify right side
    241,388x = 133,934,040,900
  5. Step 5: Solve for x
    x = 133,934,040,900/241,388
  6. Step 6: Final answer
    x = 554,849.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.