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Finding the Third Proportional to 197,824 and 297,120

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Solution

The third proportional to 197,824 and 297,120 is: 446,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,824 : 297,120 = 297,120 : x
  2. Step 2: Convert to fraction form
    197,824/297,120 = 297,120/x
  3. Step 3: Cross multiply
    197,824x = 297,120 × 297,120
  4. Step 4: Simplify right side
    197,824x = 88,280,294,400
  5. Step 5: Solve for x
    x = 88,280,294,400/197,824
  6. Step 6: Final answer
    x = 446,256.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.