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Finding the Third Proportional to 114,728 and 247,032

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Solution

The third proportional to 114,728 and 247,032 is: 531,908.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,728 : 247,032 = 247,032 : x
  2. Step 2: Convert to fraction form
    114,728/247,032 = 247,032/x
  3. Step 3: Cross multiply
    114,728x = 247,032 × 247,032
  4. Step 4: Simplify right side
    114,728x = 61,024,809,024
  5. Step 5: Solve for x
    x = 61,024,809,024/114,728
  6. Step 6: Final answer
    x = 531,908.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.