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Finding the Third Proportional to 264,864.94 and 340,093.69

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Solution

The third proportional to 264,864.94 and 340,093.69 is: 436,689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,864.94 : 340,093.69 = 340,093.69 : x
  2. Step 2: Convert to fraction form
    264,864.94/340,093.69 = 340,093.69/x
  3. Step 3: Cross multiply
    264,864.94x = 340,093.69 × 340,093.69
  4. Step 4: Simplify right side
    264,864.94x = 115,663,716,277.35
  5. Step 5: Solve for x
    x = 115,663,716,277.35/264,864.94
  6. Step 6: Final answer
    x = 436,689.42

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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.