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Finding the Third Proportional to 264,853.50 and 340,065

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Solution

The third proportional to 264,853.50 and 340,065 is: 436,634.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,853.50 : 340,065 = 340,065 : x
  2. Step 2: Convert to fraction form
    264,853.50/340,065 = 340,065/x
  3. Step 3: Cross multiply
    264,853.50x = 340,065 × 340,065
  4. Step 4: Simplify right side
    264,853.50x = 115,644,204,225
  5. Step 5: Solve for x
    x = 115,644,204,225/264,853.50
  6. Step 6: Final answer
    x = 436,634.61

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.