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Finding the Third Proportional to 197,445.09 and 297,910.41

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Solution

The third proportional to 197,445.09 and 297,910.41 is: 449,495.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,445.09 : 297,910.41 = 297,910.41 : x
  2. Step 2: Convert to fraction form
    197,445.09/297,910.41 = 297,910.41/x
  3. Step 3: Cross multiply
    197,445.09x = 297,910.41 × 297,910.41
  4. Step 4: Simplify right side
    197,445.09x = 88,750,610,152.04
  5. Step 5: Solve for x
    x = 88,750,610,152.04/197,445.09
  6. Step 6: Final answer
    x = 449,495.14

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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.