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Finding the Third Proportional to 197,050.50 and 305,741.25

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Solution

The third proportional to 197,050.50 and 305,741.25 is: 474,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,050.50 : 305,741.25 = 305,741.25 : x
  2. Step 2: Convert to fraction form
    197,050.50/305,741.25 = 305,741.25/x
  3. Step 3: Cross multiply
    197,050.50x = 305,741.25 × 305,741.25
  4. Step 4: Simplify right side
    197,050.50x = 93,477,711,951.56
  5. Step 5: Solve for x
    x = 93,477,711,951.56/197,050.50
  6. Step 6: Final answer
    x = 474,384.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.