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Finding the Third Proportional to 264,864.75 and 340,080.75

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Solution

The third proportional to 264,864.75 and 340,080.75 is: 436,656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,864.75 : 340,080.75 = 340,080.75 : x
  2. Step 2: Convert to fraction form
    264,864.75/340,080.75 = 340,080.75/x
  3. Step 3: Cross multiply
    264,864.75x = 340,080.75 × 340,080.75
  4. Step 4: Simplify right side
    264,864.75x = 115,654,916,520.56
  5. Step 5: Solve for x
    x = 115,654,916,520.56/264,864.75
  6. Step 6: Final answer
    x = 436,656.51

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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.