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Finding the Third Proportional to 244,152 and 365,988

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Solution

The third proportional to 244,152 and 365,988 is: 548,622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,152 : 365,988 = 365,988 : x
  2. Step 2: Convert to fraction form
    244,152/365,988 = 365,988/x
  3. Step 3: Cross multiply
    244,152x = 365,988 × 365,988
  4. Step 4: Simplify right side
    244,152x = 133,947,216,144
  5. Step 5: Solve for x
    x = 133,947,216,144/244,152
  6. Step 6: Final answer
    x = 548,622.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.