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Finding the Third Proportional to 207,968 and 297,404

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Solution

The third proportional to 207,968 and 297,404 is: 425,301.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,968 : 297,404 = 297,404 : x
  2. Step 2: Convert to fraction form
    207,968/297,404 = 297,404/x
  3. Step 3: Cross multiply
    207,968x = 297,404 × 297,404
  4. Step 4: Simplify right side
    207,968x = 88,449,139,216
  5. Step 5: Solve for x
    x = 88,449,139,216/207,968
  6. Step 6: Final answer
    x = 425,301.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.