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Finding the Third Proportional to 244,116 and 369,616

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Solution

The third proportional to 244,116 and 369,616 is: 559,635.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,116 : 369,616 = 369,616 : x
  2. Step 2: Convert to fraction form
    244,116/369,616 = 369,616/x
  3. Step 3: Cross multiply
    244,116x = 369,616 × 369,616
  4. Step 4: Simplify right side
    244,116x = 136,615,987,456
  5. Step 5: Solve for x
    x = 136,615,987,456/244,116
  6. Step 6: Final answer
    x = 559,635.53

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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.