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Finding the Third Proportional to 197,250.56 and 431,406.19

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Solution

The third proportional to 197,250.56 and 431,406.19 is: 943,527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,250.56 : 431,406.19 = 431,406.19 : x
  2. Step 2: Convert to fraction form
    197,250.56/431,406.19 = 431,406.19/x
  3. Step 3: Cross multiply
    197,250.56x = 431,406.19 × 431,406.19
  4. Step 4: Simplify right side
    197,250.56x = 186,111,298,613.29
  5. Step 5: Solve for x
    x = 186,111,298,613.29/197,250.56
  6. Step 6: Final answer
    x = 943,527.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.