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Finding the Third Proportional to 197,532 and 385,101

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Solution

The third proportional to 197,532 and 385,101 is: 750,778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,532 : 385,101 = 385,101 : x
  2. Step 2: Convert to fraction form
    197,532/385,101 = 385,101/x
  3. Step 3: Cross multiply
    197,532x = 385,101 × 385,101
  4. Step 4: Simplify right side
    197,532x = 148,302,780,201
  5. Step 5: Solve for x
    x = 148,302,780,201/197,532
  6. Step 6: Final answer
    x = 750,778.51

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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.