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Finding the Third Proportional to 207,198 and 292,460

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Solution

The third proportional to 207,198 and 292,460 is: 412,807.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,198 : 292,460 = 292,460 : x
  2. Step 2: Convert to fraction form
    207,198/292,460 = 292,460/x
  3. Step 3: Cross multiply
    207,198x = 292,460 × 292,460
  4. Step 4: Simplify right side
    207,198x = 85,532,851,600
  5. Step 5: Solve for x
    x = 85,532,851,600/207,198
  6. Step 6: Final answer
    x = 412,807.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.