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Finding the Third Proportional to 231,620 and 367,058

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Solution

The third proportional to 231,620 and 367,058 is: 581,692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,620 : 367,058 = 367,058 : x
  2. Step 2: Convert to fraction form
    231,620/367,058 = 367,058/x
  3. Step 3: Cross multiply
    231,620x = 367,058 × 367,058
  4. Step 4: Simplify right side
    231,620x = 134,731,575,364
  5. Step 5: Solve for x
    x = 134,731,575,364/231,620
  6. Step 6: Final answer
    x = 581,692.32

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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.