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Finding the Third Proportional to 264,813.05 and 340,013.95

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Solution

The third proportional to 264,813.05 and 340,013.95 is: 436,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,813.05 : 340,013.95 = 340,013.95 : x
  2. Step 2: Convert to fraction form
    264,813.05/340,013.95 = 340,013.95/x
  3. Step 3: Cross multiply
    264,813.05x = 340,013.95 × 340,013.95
  4. Step 4: Simplify right side
    264,813.05x = 115,609,488,319.69
  5. Step 5: Solve for x
    x = 115,609,488,319.69/264,813.05
  6. Step 6: Final answer
    x = 436,570.21

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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.