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Finding the Third Proportional to 202,384 and 292,384

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Solution

The third proportional to 202,384 and 292,384 is: 422,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,384 : 292,384 = 292,384 : x
  2. Step 2: Convert to fraction form
    202,384/292,384 = 292,384/x
  3. Step 3: Cross multiply
    202,384x = 292,384 × 292,384
  4. Step 4: Simplify right side
    202,384x = 85,488,403,456
  5. Step 5: Solve for x
    x = 85,488,403,456/202,384
  6. Step 6: Final answer
    x = 422,406.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.