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Finding the Third Proportional to 196,890.54 and 297,136.05

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Solution

The third proportional to 196,890.54 and 297,136.05 is: 448,420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,890.54 : 297,136.05 = 297,136.05 : x
  2. Step 2: Convert to fraction form
    196,890.54/297,136.05 = 297,136.05/x
  3. Step 3: Cross multiply
    196,890.54x = 297,136.05 × 297,136.05
  4. Step 4: Simplify right side
    196,890.54x = 88,289,834,995.25
  5. Step 5: Solve for x
    x = 88,289,834,995.25/196,890.54
  6. Step 6: Final answer
    x = 448,420.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.