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Finding the Third Proportional to 230,932 and 367,740

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Solution

The third proportional to 230,932 and 367,740 is: 585,595.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,932 : 367,740 = 367,740 : x
  2. Step 2: Convert to fraction form
    230,932/367,740 = 367,740/x
  3. Step 3: Cross multiply
    230,932x = 367,740 × 367,740
  4. Step 4: Simplify right side
    230,932x = 135,232,707,600
  5. Step 5: Solve for x
    x = 135,232,707,600/230,932
  6. Step 6: Final answer
    x = 585,595.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.