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Finding the Third Proportional to 195,290 and 292,936

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Solution

The third proportional to 195,290 and 292,936 is: 439,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,290 : 292,936 = 292,936 : x
  2. Step 2: Convert to fraction form
    195,290/292,936 = 292,936/x
  3. Step 3: Cross multiply
    195,290x = 292,936 × 292,936
  4. Step 4: Simplify right side
    195,290x = 85,811,500,096
  5. Step 5: Solve for x
    x = 85,811,500,096/195,290
  6. Step 6: Final answer
    x = 439,405.50

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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.