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Finding the Third Proportional to 196,345.50 and 424,023

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Solution

The third proportional to 196,345.50 and 424,023 is: 915,709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,345.50 : 424,023 = 424,023 : x
  2. Step 2: Convert to fraction form
    196,345.50/424,023 = 424,023/x
  3. Step 3: Cross multiply
    196,345.50x = 424,023 × 424,023
  4. Step 4: Simplify right side
    196,345.50x = 179,795,504,529
  5. Step 5: Solve for x
    x = 179,795,504,529/196,345.50
  6. Step 6: Final answer
    x = 915,709.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.