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Finding the Third Proportional to 178,362 and 244,578

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Solution

The third proportional to 178,362 and 244,578 is: 335,376.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,362 : 244,578 = 244,578 : x
  2. Step 2: Convert to fraction form
    178,362/244,578 = 244,578/x
  3. Step 3: Cross multiply
    178,362x = 244,578 × 244,578
  4. Step 4: Simplify right side
    178,362x = 59,818,398,084
  5. Step 5: Solve for x
    x = 59,818,398,084/178,362
  6. Step 6: Final answer
    x = 335,376.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.