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Finding the Third Proportional to 258,268.50 and 346,396.50

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Solution

The third proportional to 258,268.50 and 346,396.50 is: 464,596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,268.50 : 346,396.50 = 346,396.50 : x
  2. Step 2: Convert to fraction form
    258,268.50/346,396.50 = 346,396.50/x
  3. Step 3: Cross multiply
    258,268.50x = 346,396.50 × 346,396.50
  4. Step 4: Simplify right side
    258,268.50x = 119,990,535,212.25
  5. Step 5: Solve for x
    x = 119,990,535,212.25/258,268.50
  6. Step 6: Final answer
    x = 464,596.09

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.