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Finding the Third Proportional to 197,804 and 310,071

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Solution

The third proportional to 197,804 and 310,071 is: 486,057.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,804 : 310,071 = 310,071 : x
  2. Step 2: Convert to fraction form
    197,804/310,071 = 310,071/x
  3. Step 3: Cross multiply
    197,804x = 310,071 × 310,071
  4. Step 4: Simplify right side
    197,804x = 96,144,025,041
  5. Step 5: Solve for x
    x = 96,144,025,041/197,804
  6. Step 6: Final answer
    x = 486,057.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.