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Finding the Third Proportional to 264,858.19 and 340,071.75

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Solution

The third proportional to 264,858.19 and 340,071.75 is: 436,644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,858.19 : 340,071.75 = 340,071.75 : x
  2. Step 2: Convert to fraction form
    264,858.19/340,071.75 = 340,071.75/x
  3. Step 3: Cross multiply
    264,858.19x = 340,071.75 × 340,071.75
  4. Step 4: Simplify right side
    264,858.19x = 115,648,795,148.06
  5. Step 5: Solve for x
    x = 115,648,795,148.06/264,858.19
  6. Step 6: Final answer
    x = 436,644.21

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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.