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Finding the Third Proportional to 196,899.19 and 297,152.72

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Solution

The third proportional to 196,899.19 and 297,152.72 is: 448,451.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,899.19 : 297,152.72 = 297,152.72 : x
  2. Step 2: Convert to fraction form
    196,899.19/297,152.72 = 297,152.72/x
  3. Step 3: Cross multiply
    196,899.19x = 297,152.72 × 297,152.72
  4. Step 4: Simplify right side
    196,899.19x = 88,299,738,260.52
  5. Step 5: Solve for x
    x = 88,299,738,260.52/196,899.19
  6. Step 6: Final answer
    x = 448,451.51

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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.