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Finding the Third Proportional to 180,586 and 365,588

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Solution

The third proportional to 180,586 and 365,588 is: 740,115.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,586 : 365,588 = 365,588 : x
  2. Step 2: Convert to fraction form
    180,586/365,588 = 365,588/x
  3. Step 3: Cross multiply
    180,586x = 365,588 × 365,588
  4. Step 4: Simplify right side
    180,586x = 133,654,585,744
  5. Step 5: Solve for x
    x = 133,654,585,744/180,586
  6. Step 6: Final answer
    x = 740,115.99

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.