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Finding the Third Proportional to 197,879.38 and 432,049.22

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Solution

The third proportional to 197,879.38 and 432,049.22 is: 943,334.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,879.38 : 432,049.22 = 432,049.22 : x
  2. Step 2: Convert to fraction form
    197,879.38/432,049.22 = 432,049.22/x
  3. Step 3: Cross multiply
    197,879.38x = 432,049.22 × 432,049.22
  4. Step 4: Simplify right side
    197,879.38x = 186,666,531,368.18
  5. Step 5: Solve for x
    x = 186,666,531,368.18/197,879.38
  6. Step 6: Final answer
    x = 943,334.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.