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Finding the Third Proportional to 204,353 and 306,598

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Solution

The third proportional to 204,353 and 306,598 is: 459,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,353 : 306,598 = 306,598 : x
  2. Step 2: Convert to fraction form
    204,353/306,598 = 306,598/x
  3. Step 3: Cross multiply
    204,353x = 306,598 × 306,598
  4. Step 4: Simplify right side
    204,353x = 94,002,333,604
  5. Step 5: Solve for x
    x = 94,002,333,604/204,353
  6. Step 6: Final answer
    x = 459,999.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.