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Finding the Third Proportional to 197,005.50 and 384,166.13

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Solution

The third proportional to 197,005.50 and 384,166.13 is: 749,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,005.50 : 384,166.13 = 384,166.13 : x
  2. Step 2: Convert to fraction form
    197,005.50/384,166.13 = 384,166.13/x
  3. Step 3: Cross multiply
    197,005.50x = 384,166.13 × 384,166.13
  4. Step 4: Simplify right side
    197,005.50x = 147,583,611,597.52
  5. Step 5: Solve for x
    x = 147,583,611,597.52/197,005.50
  6. Step 6: Final answer
    x = 749,134.47

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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.