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Finding the Third Proportional to 195,004 and 294,906

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Solution

The third proportional to 195,004 and 294,906 is: 445,988.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,004 : 294,906 = 294,906 : x
  2. Step 2: Convert to fraction form
    195,004/294,906 = 294,906/x
  3. Step 3: Cross multiply
    195,004x = 294,906 × 294,906
  4. Step 4: Simplify right side
    195,004x = 86,969,548,836
  5. Step 5: Solve for x
    x = 86,969,548,836/195,004
  6. Step 6: Final answer
    x = 445,988.54

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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.