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Finding the Third Proportional to 197,064.56 and 430,935.19

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Solution

The third proportional to 197,064.56 and 430,935.19 is: 942,356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,064.56 : 430,935.19 = 430,935.19 : x
  2. Step 2: Convert to fraction form
    197,064.56/430,935.19 = 430,935.19/x
  3. Step 3: Cross multiply
    197,064.56x = 430,935.19 × 430,935.19
  4. Step 4: Simplify right side
    197,064.56x = 185,705,135,825.66
  5. Step 5: Solve for x
    x = 185,705,135,825.66/197,064.56
  6. Step 6: Final answer
    x = 942,356.83

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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.