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Finding the Third Proportional to 160,992 and 244,224

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Solution

The third proportional to 160,992 and 244,224 is: 370,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,992 : 244,224 = 244,224 : x
  2. Step 2: Convert to fraction form
    160,992/244,224 = 244,224/x
  3. Step 3: Cross multiply
    160,992x = 244,224 × 244,224
  4. Step 4: Simplify right side
    160,992x = 59,645,362,176
  5. Step 5: Solve for x
    x = 59,645,362,176/160,992
  6. Step 6: Final answer
    x = 370,486.50

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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.