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Finding the Third Proportional to 135,672 and 294,685.50

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Solution

The third proportional to 135,672 and 294,685.50 is: 640,069.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,672 : 294,685.50 = 294,685.50 : x
  2. Step 2: Convert to fraction form
    135,672/294,685.50 = 294,685.50/x
  3. Step 3: Cross multiply
    135,672x = 294,685.50 × 294,685.50
  4. Step 4: Simplify right side
    135,672x = 86,839,543,910.25
  5. Step 5: Solve for x
    x = 86,839,543,910.25/135,672
  6. Step 6: Final answer
    x = 640,069.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.