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Finding the Third Proportional to 114,736 and 247,600

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Solution

The third proportional to 114,736 and 247,600 is: 534,320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,736 : 247,600 = 247,600 : x
  2. Step 2: Convert to fraction form
    114,736/247,600 = 247,600/x
  3. Step 3: Cross multiply
    114,736x = 247,600 × 247,600
  4. Step 4: Simplify right side
    114,736x = 61,305,760,000
  5. Step 5: Solve for x
    x = 61,305,760,000/114,736
  6. Step 6: Final answer
    x = 534,320.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.