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Finding the Third Proportional to 195,595 and 292,663

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Solution

The third proportional to 195,595 and 292,663 is: 437,902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,595 : 292,663 = 292,663 : x
  2. Step 2: Convert to fraction form
    195,595/292,663 = 292,663/x
  3. Step 3: Cross multiply
    195,595x = 292,663 × 292,663
  4. Step 4: Simplify right side
    195,595x = 85,651,631,569
  5. Step 5: Solve for x
    x = 85,651,631,569/195,595
  6. Step 6: Final answer
    x = 437,902.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.