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Finding the Third Proportional to 114,714 and 247,005

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Solution

The third proportional to 114,714 and 247,005 is: 531,857.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,714 : 247,005 = 247,005 : x
  2. Step 2: Convert to fraction form
    114,714/247,005 = 247,005/x
  3. Step 3: Cross multiply
    114,714x = 247,005 × 247,005
  4. Step 4: Simplify right side
    114,714x = 61,011,470,025
  5. Step 5: Solve for x
    x = 61,011,470,025/114,714
  6. Step 6: Final answer
    x = 531,857.23

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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.