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Finding the Third Proportional to 202,361 and 292,353

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Solution

The third proportional to 202,361 and 292,353 is: 422,365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,361 : 292,353 = 292,353 : x
  2. Step 2: Convert to fraction form
    202,361/292,353 = 292,353/x
  3. Step 3: Cross multiply
    202,361x = 292,353 × 292,353
  4. Step 4: Simplify right side
    202,361x = 85,470,276,609
  5. Step 5: Solve for x
    x = 85,470,276,609/202,361
  6. Step 6: Final answer
    x = 422,365.36

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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.