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Finding the Third Proportional to 133,679.50 and 297,245

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Solution

The third proportional to 133,679.50 and 297,245 is: 660,943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,679.50 : 297,245 = 297,245 : x
  2. Step 2: Convert to fraction form
    133,679.50/297,245 = 297,245/x
  3. Step 3: Cross multiply
    133,679.50x = 297,245 × 297,245
  4. Step 4: Simplify right side
    133,679.50x = 88,354,590,025
  5. Step 5: Solve for x
    x = 88,354,590,025/133,679.50
  6. Step 6: Final answer
    x = 660,943.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.