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Finding the Third Proportional to 231,646 and 367,097

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Solution

The third proportional to 231,646 and 367,097 is: 581,750.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,646 : 367,097 = 367,097 : x
  2. Step 2: Convert to fraction form
    231,646/367,097 = 367,097/x
  3. Step 3: Cross multiply
    231,646x = 367,097 × 367,097
  4. Step 4: Simplify right side
    231,646x = 134,760,207,409
  5. Step 5: Solve for x
    x = 134,760,207,409/231,646
  6. Step 6: Final answer
    x = 581,750.63

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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.