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Finding the Third Proportional to 197,445.09 and 385,048.69

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Solution

The third proportional to 197,445.09 and 385,048.69 is: 750,904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,445.09 : 385,048.69 = 385,048.69 : x
  2. Step 2: Convert to fraction form
    197,445.09/385,048.69 = 385,048.69/x
  3. Step 3: Cross multiply
    197,445.09x = 385,048.69 × 385,048.69
  4. Step 4: Simplify right side
    197,445.09x = 148,262,491,745.47
  5. Step 5: Solve for x
    x = 148,262,491,745.47/197,445.09
  6. Step 6: Final answer
    x = 750,904.92

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.