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Finding the Third Proportional to 134,142.75 and 279,301.50

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Solution

The third proportional to 134,142.75 and 279,301.50 is: 581,539.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,142.75 : 279,301.50 = 279,301.50 : x
  2. Step 2: Convert to fraction form
    134,142.75/279,301.50 = 279,301.50/x
  3. Step 3: Cross multiply
    134,142.75x = 279,301.50 × 279,301.50
  4. Step 4: Simplify right side
    134,142.75x = 78,009,327,902.25
  5. Step 5: Solve for x
    x = 78,009,327,902.25/134,142.75
  6. Step 6: Final answer
    x = 581,539.65

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.