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Finding the Third Proportional to 114,297.75 and 247,664.25

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Solution

The third proportional to 114,297.75 and 247,664.25 is: 536,647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,297.75 : 247,664.25 = 247,664.25 : x
  2. Step 2: Convert to fraction form
    114,297.75/247,664.25 = 247,664.25/x
  3. Step 3: Cross multiply
    114,297.75x = 247,664.25 × 247,664.25
  4. Step 4: Simplify right side
    114,297.75x = 61,337,580,728.06
  5. Step 5: Solve for x
    x = 61,337,580,728.06/114,297.75
  6. Step 6: Final answer
    x = 536,647.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.