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Finding the Third Proportional to 195,438 and 292,006

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Solution

The third proportional to 195,438 and 292,006 is: 436,289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,438 : 292,006 = 292,006 : x
  2. Step 2: Convert to fraction form
    195,438/292,006 = 292,006/x
  3. Step 3: Cross multiply
    195,438x = 292,006 × 292,006
  4. Step 4: Simplify right side
    195,438x = 85,267,504,036
  5. Step 5: Solve for x
    x = 85,267,504,036/195,438
  6. Step 6: Final answer
    x = 436,289.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.