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Finding the Third Proportional to 119,232 and 246,144

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Solution

The third proportional to 119,232 and 246,144 is: 508,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,232 : 246,144 = 246,144 : x
  2. Step 2: Convert to fraction form
    119,232/246,144 = 246,144/x
  3. Step 3: Cross multiply
    119,232x = 246,144 × 246,144
  4. Step 4: Simplify right side
    119,232x = 60,586,868,736
  5. Step 5: Solve for x
    x = 60,586,868,736/119,232
  6. Step 6: Final answer
    x = 508,142.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.