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Finding the Third Proportional to 199,008 and 294,608

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Solution

The third proportional to 199,008 and 294,608 is: 436,132.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,008 : 294,608 = 294,608 : x
  2. Step 2: Convert to fraction form
    199,008/294,608 = 294,608/x
  3. Step 3: Cross multiply
    199,008x = 294,608 × 294,608
  4. Step 4: Simplify right side
    199,008x = 86,793,873,664
  5. Step 5: Solve for x
    x = 86,793,873,664/199,008
  6. Step 6: Final answer
    x = 436,132.59

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.