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Finding the Third Proportional to 196,236 and 302,008.50

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Solution

The third proportional to 196,236 and 302,008.50 is: 464,793.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,236 : 302,008.50 = 302,008.50 : x
  2. Step 2: Convert to fraction form
    196,236/302,008.50 = 302,008.50/x
  3. Step 3: Cross multiply
    196,236x = 302,008.50 × 302,008.50
  4. Step 4: Simplify right side
    196,236x = 91,209,134,072.25
  5. Step 5: Solve for x
    x = 91,209,134,072.25/196,236
  6. Step 6: Final answer
    x = 464,793.08

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.