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Finding the Third Proportional to 207,019 and 292,992

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Solution

The third proportional to 207,019 and 292,992 is: 414,668.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,019 : 292,992 = 292,992 : x
  2. Step 2: Convert to fraction form
    207,019/292,992 = 292,992/x
  3. Step 3: Cross multiply
    207,019x = 292,992 × 292,992
  4. Step 4: Simplify right side
    207,019x = 85,844,312,064
  5. Step 5: Solve for x
    x = 85,844,312,064/207,019
  6. Step 6: Final answer
    x = 414,668.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.