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Finding the Third Proportional to 202,384 and 292,387

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Solution

The third proportional to 202,384 and 292,387 is: 422,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,384 : 292,387 = 292,387 : x
  2. Step 2: Convert to fraction form
    202,384/292,387 = 292,387/x
  3. Step 3: Cross multiply
    202,384x = 292,387 × 292,387
  4. Step 4: Simplify right side
    202,384x = 85,490,157,769
  5. Step 5: Solve for x
    x = 85,490,157,769/202,384
  6. Step 6: Final answer
    x = 422,415.59

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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.