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Finding the Third Proportional to 196,333.50 and 427,429.50

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Solution

The third proportional to 196,333.50 and 427,429.50 is: 930,538.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,333.50 : 427,429.50 = 427,429.50 : x
  2. Step 2: Convert to fraction form
    196,333.50/427,429.50 = 427,429.50/x
  3. Step 3: Cross multiply
    196,333.50x = 427,429.50 × 427,429.50
  4. Step 4: Simplify right side
    196,333.50x = 182,695,977,470.25
  5. Step 5: Solve for x
    x = 182,695,977,470.25/196,333.50
  6. Step 6: Final answer
    x = 930,538.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.