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Finding the Third Proportional to 195,006 and 294,909

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Solution

The third proportional to 195,006 and 294,909 is: 445,993.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,006 : 294,909 = 294,909 : x
  2. Step 2: Convert to fraction form
    195,006/294,909 = 294,909/x
  3. Step 3: Cross multiply
    195,006x = 294,909 × 294,909
  4. Step 4: Simplify right side
    195,006x = 86,971,318,281
  5. Step 5: Solve for x
    x = 86,971,318,281/195,006
  6. Step 6: Final answer
    x = 445,993.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.