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Finding the Third Proportional to 197,627.34 and 297,796.50

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Solution

The third proportional to 197,627.34 and 297,796.50 is: 448,737.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,627.34 : 297,796.50 = 297,796.50 : x
  2. Step 2: Convert to fraction form
    197,627.34/297,796.50 = 297,796.50/x
  3. Step 3: Cross multiply
    197,627.34x = 297,796.50 × 297,796.50
  4. Step 4: Simplify right side
    197,627.34x = 88,682,755,412.25
  5. Step 5: Solve for x
    x = 88,682,755,412.25/197,627.34
  6. Step 6: Final answer
    x = 448,737.27

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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.