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Finding the Third Proportional to 135,423.75 and 291,658.50

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Solution

The third proportional to 135,423.75 and 291,658.50 is: 628,137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,423.75 : 291,658.50 = 291,658.50 : x
  2. Step 2: Convert to fraction form
    135,423.75/291,658.50 = 291,658.50/x
  3. Step 3: Cross multiply
    135,423.75x = 291,658.50 × 291,658.50
  4. Step 4: Simplify right side
    135,423.75x = 85,064,680,622.25
  5. Step 5: Solve for x
    x = 85,064,680,622.25/135,423.75
  6. Step 6: Final answer
    x = 628,137.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.