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Finding the Third Proportional to 231,616 and 367,052

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Solution

The third proportional to 231,616 and 367,052 is: 581,683.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,616 : 367,052 = 367,052 : x
  2. Step 2: Convert to fraction form
    231,616/367,052 = 367,052/x
  3. Step 3: Cross multiply
    231,616x = 367,052 × 367,052
  4. Step 4: Simplify right side
    231,616x = 134,727,170,704
  5. Step 5: Solve for x
    x = 134,727,170,704/231,616
  6. Step 6: Final answer
    x = 581,683.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.