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Finding the Third Proportional to 207,982 and 308,914

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Solution

The third proportional to 207,982 and 308,914 is: 458,827.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,982 : 308,914 = 308,914 : x
  2. Step 2: Convert to fraction form
    207,982/308,914 = 308,914/x
  3. Step 3: Cross multiply
    207,982x = 308,914 × 308,914
  4. Step 4: Simplify right side
    207,982x = 95,427,859,396
  5. Step 5: Solve for x
    x = 95,427,859,396/207,982
  6. Step 6: Final answer
    x = 458,827.49

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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.