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Finding the Third Proportional to 135,912.94 and 291,508.88

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Solution

The third proportional to 135,912.94 and 291,508.88 is: 625,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,912.94 : 291,508.88 = 291,508.88 : x
  2. Step 2: Convert to fraction form
    135,912.94/291,508.88 = 291,508.88/x
  3. Step 3: Cross multiply
    135,912.94x = 291,508.88 × 291,508.88
  4. Step 4: Simplify right side
    135,912.94x = 84,977,424,203.77
  5. Step 5: Solve for x
    x = 84,977,424,203.77/135,912.94
  6. Step 6: Final answer
    x = 625,234.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.