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Finding the Third Proportional to 207,922 and 330,546

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Solution

The third proportional to 207,922 and 330,546 is: 525,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,922 : 330,546 = 330,546 : x
  2. Step 2: Convert to fraction form
    207,922/330,546 = 330,546/x
  3. Step 3: Cross multiply
    207,922x = 330,546 × 330,546
  4. Step 4: Simplify right side
    207,922x = 109,260,658,116
  5. Step 5: Solve for x
    x = 109,260,658,116/207,922
  6. Step 6: Final answer
    x = 525,488.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.