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Finding the Third Proportional to 201,978 and 313,614

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Solution

The third proportional to 201,978 and 313,614 is: 486,952.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,978 : 313,614 = 313,614 : x
  2. Step 2: Convert to fraction form
    201,978/313,614 = 313,614/x
  3. Step 3: Cross multiply
    201,978x = 313,614 × 313,614
  4. Step 4: Simplify right side
    201,978x = 98,353,740,996
  5. Step 5: Solve for x
    x = 98,353,740,996/201,978
  6. Step 6: Final answer
    x = 486,952.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.