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Finding the Third Proportional to 264,902.06 and 340,149.38

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Solution

The third proportional to 264,902.06 and 340,149.38 is: 436,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,902.06 : 340,149.38 = 340,149.38 : x
  2. Step 2: Convert to fraction form
    264,902.06/340,149.38 = 340,149.38/x
  3. Step 3: Cross multiply
    264,902.06x = 340,149.38 × 340,149.38
  4. Step 4: Simplify right side
    264,902.06x = 115,701,597,312.89
  5. Step 5: Solve for x
    x = 115,701,597,312.89/264,902.06
  6. Step 6: Final answer
    x = 436,771.22

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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.