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Finding the Third Proportional to 207,906 and 330,517

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Solution

The third proportional to 207,906 and 330,517 is: 525,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,906 : 330,517 = 330,517 : x
  2. Step 2: Convert to fraction form
    207,906/330,517 = 330,517/x
  3. Step 3: Cross multiply
    207,906x = 330,517 × 330,517
  4. Step 4: Simplify right side
    207,906x = 109,241,487,289
  5. Step 5: Solve for x
    x = 109,241,487,289/207,906
  6. Step 6: Final answer
    x = 525,436.92

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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.