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Finding the Third Proportional to 207,967 and 310,563

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Solution

The third proportional to 207,967 and 310,563 is: 463,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,967 : 310,563 = 310,563 : x
  2. Step 2: Convert to fraction form
    207,967/310,563 = 310,563/x
  3. Step 3: Cross multiply
    207,967x = 310,563 × 310,563
  4. Step 4: Simplify right side
    207,967x = 96,449,376,969
  5. Step 5: Solve for x
    x = 96,449,376,969/207,967
  6. Step 6: Final answer
    x = 463,772.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.