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Finding the Third Proportional to 197,106 and 303,313.50

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Solution

The third proportional to 197,106 and 303,313.50 is: 466,749.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,106 : 303,313.50 = 303,313.50 : x
  2. Step 2: Convert to fraction form
    197,106/303,313.50 = 303,313.50/x
  3. Step 3: Cross multiply
    197,106x = 303,313.50 × 303,313.50
  4. Step 4: Simplify right side
    197,106x = 91,999,079,282.25
  5. Step 5: Solve for x
    x = 91,999,079,282.25/197,106
  6. Step 6: Final answer
    x = 466,749.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.