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Finding the Third Proportional to 194,976 and 294,600

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Solution

The third proportional to 194,976 and 294,600 is: 445,127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,976 : 294,600 = 294,600 : x
  2. Step 2: Convert to fraction form
    194,976/294,600 = 294,600/x
  3. Step 3: Cross multiply
    194,976x = 294,600 × 294,600
  4. Step 4: Simplify right side
    194,976x = 86,789,160,000
  5. Step 5: Solve for x
    x = 86,789,160,000/194,976
  6. Step 6: Final answer
    x = 445,127.40

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