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Finding the Third Proportional to 196,774.50 and 434,895.75

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Solution

The third proportional to 196,774.50 and 434,895.75 is: 961,172.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,774.50 : 434,895.75 = 434,895.75 : x
  2. Step 2: Convert to fraction form
    196,774.50/434,895.75 = 434,895.75/x
  3. Step 3: Cross multiply
    196,774.50x = 434,895.75 × 434,895.75
  4. Step 4: Simplify right side
    196,774.50x = 189,134,313,368.06
  5. Step 5: Solve for x
    x = 189,134,313,368.06/196,774.50
  6. Step 6: Final answer
    x = 961,172.88

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.