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Finding the Third Proportional to 231,640 and 367,088

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Solution

The third proportional to 231,640 and 367,088 is: 581,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,640 : 367,088 = 367,088 : x
  2. Step 2: Convert to fraction form
    231,640/367,088 = 367,088/x
  3. Step 3: Cross multiply
    231,640x = 367,088 × 367,088
  4. Step 4: Simplify right side
    231,640x = 134,753,599,744
  5. Step 5: Solve for x
    x = 134,753,599,744/231,640
  6. Step 6: Final answer
    x = 581,737.18

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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.