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Finding the Third Proportional to 202,381.50 and 292,380

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Solution

The third proportional to 202,381.50 and 292,380 is: 422,400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,381.50 : 292,380 = 292,380 : x
  2. Step 2: Convert to fraction form
    202,381.50/292,380 = 292,380/x
  3. Step 3: Cross multiply
    202,381.50x = 292,380 × 292,380
  4. Step 4: Simplify right side
    202,381.50x = 85,486,064,400
  5. Step 5: Solve for x
    x = 85,486,064,400/202,381.50
  6. Step 6: Final answer
    x = 422,400.59

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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.