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Finding the Third Proportional to 202,367 and 292,362

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Solution

The third proportional to 202,367 and 292,362 is: 422,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,367 : 292,362 = 292,362 : x
  2. Step 2: Convert to fraction form
    202,367/292,362 = 292,362/x
  3. Step 3: Cross multiply
    202,367x = 292,362 × 292,362
  4. Step 4: Simplify right side
    202,367x = 85,475,539,044
  5. Step 5: Solve for x
    x = 85,475,539,044/202,367
  6. Step 6: Final answer
    x = 422,378.84

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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.