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Finding the Third Proportional to 197,452.69 and 297,955.13

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Solution

The third proportional to 197,452.69 and 297,955.13 is: 449,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,452.69 : 297,955.13 = 297,955.13 : x
  2. Step 2: Convert to fraction form
    197,452.69/297,955.13 = 297,955.13/x
  3. Step 3: Cross multiply
    197,452.69x = 297,955.13 × 297,955.13
  4. Step 4: Simplify right side
    197,452.69x = 88,777,256,513.77
  5. Step 5: Solve for x
    x = 88,777,256,513.77/197,452.69
  6. Step 6: Final answer
    x = 449,612.80

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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.