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Finding the Third Proportional to 264,813 and 340,013.25

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Solution

The third proportional to 264,813 and 340,013.25 is: 436,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,813 : 340,013.25 = 340,013.25 : x
  2. Step 2: Convert to fraction form
    264,813/340,013.25 = 340,013.25/x
  3. Step 3: Cross multiply
    264,813x = 340,013.25 × 340,013.25
  4. Step 4: Simplify right side
    264,813x = 115,609,010,175.56
  5. Step 5: Solve for x
    x = 115,609,010,175.56/264,813
  6. Step 6: Final answer
    x = 436,568.48

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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.