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Finding the Third Proportional to 194,978 and 294,603

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Solution

The third proportional to 194,978 and 294,603 is: 445,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,978 : 294,603 = 294,603 : x
  2. Step 2: Convert to fraction form
    194,978/294,603 = 294,603/x
  3. Step 3: Cross multiply
    194,978x = 294,603 × 294,603
  4. Step 4: Simplify right side
    194,978x = 86,790,927,609
  5. Step 5: Solve for x
    x = 86,790,927,609/194,978
  6. Step 6: Final answer
    x = 445,131.90

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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.