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Finding the Third Proportional to 264,852.75 and 340,062.75

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Solution

The third proportional to 264,852.75 and 340,062.75 is: 436,630.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,852.75 : 340,062.75 = 340,062.75 : x
  2. Step 2: Convert to fraction form
    264,852.75/340,062.75 = 340,062.75/x
  3. Step 3: Cross multiply
    264,852.75x = 340,062.75 × 340,062.75
  4. Step 4: Simplify right side
    264,852.75x = 115,642,673,937.56
  5. Step 5: Solve for x
    x = 115,642,673,937.56/264,852.75
  6. Step 6: Final answer
    x = 436,630.07

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.