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Finding the Third Proportional to 258,357.94 and 367,443

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Solution

The third proportional to 258,357.94 and 367,443 is: 522,586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,357.94 : 367,443 = 367,443 : x
  2. Step 2: Convert to fraction form
    258,357.94/367,443 = 367,443/x
  3. Step 3: Cross multiply
    258,357.94x = 367,443 × 367,443
  4. Step 4: Simplify right side
    258,357.94x = 135,014,358,249
  5. Step 5: Solve for x
    x = 135,014,358,249/258,357.94
  6. Step 6: Final answer
    x = 522,586.45

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.