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Finding the Third Proportional to 207,966 and 297,175

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Solution

The third proportional to 207,966 and 297,175 is: 424,651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,966 : 297,175 = 297,175 : x
  2. Step 2: Convert to fraction form
    207,966/297,175 = 297,175/x
  3. Step 3: Cross multiply
    207,966x = 297,175 × 297,175
  4. Step 4: Simplify right side
    207,966x = 88,312,980,625
  5. Step 5: Solve for x
    x = 88,312,980,625/207,966
  6. Step 6: Final answer
    x = 424,651.05

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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.