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Finding the Third Proportional to 199,322 and 308,946

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Solution

The third proportional to 199,322 and 308,946 is: 478,861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,322 : 308,946 = 308,946 : x
  2. Step 2: Convert to fraction form
    199,322/308,946 = 308,946/x
  3. Step 3: Cross multiply
    199,322x = 308,946 × 308,946
  4. Step 4: Simplify right side
    199,322x = 95,447,630,916
  5. Step 5: Solve for x
    x = 95,447,630,916/199,322
  6. Step 6: Final answer
    x = 478,861.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.