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Finding the Third Proportional to 231,630 and 367,075

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Solution

The third proportional to 231,630 and 367,075 is: 581,721.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,630 : 367,075 = 367,075 : x
  2. Step 2: Convert to fraction form
    231,630/367,075 = 367,075/x
  3. Step 3: Cross multiply
    231,630x = 367,075 × 367,075
  4. Step 4: Simplify right side
    231,630x = 134,744,055,625
  5. Step 5: Solve for x
    x = 134,744,055,625/231,630
  6. Step 6: Final answer
    x = 581,721.09

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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.