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Finding the Third Proportional to 231,632 and 367,077

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Solution

The third proportional to 231,632 and 367,077 is: 581,722.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,632 : 367,077 = 367,077 : x
  2. Step 2: Convert to fraction form
    231,632/367,077 = 367,077/x
  3. Step 3: Cross multiply
    231,632x = 367,077 × 367,077
  4. Step 4: Simplify right side
    231,632x = 134,745,523,929
  5. Step 5: Solve for x
    x = 134,745,523,929/231,632
  6. Step 6: Final answer
    x = 581,722.40

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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.