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Finding the Third Proportional to 199,626 and 292,008

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Solution

The third proportional to 199,626 and 292,008 is: 427,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,626 : 292,008 = 292,008 : x
  2. Step 2: Convert to fraction form
    199,626/292,008 = 292,008/x
  3. Step 3: Cross multiply
    199,626x = 292,008 × 292,008
  4. Step 4: Simplify right side
    199,626x = 85,268,672,064
  5. Step 5: Solve for x
    x = 85,268,672,064/199,626
  6. Step 6: Final answer
    x = 427,142.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.