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Finding the Third Proportional to 196,585 and 300,608

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Solution

The third proportional to 196,585 and 300,608 is: 459,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,585 : 300,608 = 300,608 : x
  2. Step 2: Convert to fraction form
    196,585/300,608 = 300,608/x
  3. Step 3: Cross multiply
    196,585x = 300,608 × 300,608
  4. Step 4: Simplify right side
    196,585x = 90,365,169,664
  5. Step 5: Solve for x
    x = 90,365,169,664/196,585
  6. Step 6: Final answer
    x = 459,674.80

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.