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Finding the Third Proportional to 196,896 and 297,145.50

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Solution

The third proportional to 196,896 and 297,145.50 is: 448,436.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,896 : 297,145.50 = 297,145.50 : x
  2. Step 2: Convert to fraction form
    196,896/297,145.50 = 297,145.50/x
  3. Step 3: Cross multiply
    196,896x = 297,145.50 × 297,145.50
  4. Step 4: Simplify right side
    196,896x = 88,295,448,170.25
  5. Step 5: Solve for x
    x = 88,295,448,170.25/196,896
  6. Step 6: Final answer
    x = 448,436.98

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