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Finding the Third Proportional to 135,652.50 and 294,648.75

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Solution

The third proportional to 135,652.50 and 294,648.75 is: 640,002.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,652.50 : 294,648.75 = 294,648.75 : x
  2. Step 2: Convert to fraction form
    135,652.50/294,648.75 = 294,648.75/x
  3. Step 3: Cross multiply
    135,652.50x = 294,648.75 × 294,648.75
  4. Step 4: Simplify right side
    135,652.50x = 86,817,885,876.56
  5. Step 5: Solve for x
    x = 86,817,885,876.56/135,652.50
  6. Step 6: Final answer
    x = 640,002.11

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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.