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Finding the Third Proportional to 132,944 and 200,998

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Solution

The third proportional to 132,944 and 200,998 is: 303,888.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,944 : 200,998 = 200,998 : x
  2. Step 2: Convert to fraction form
    132,944/200,998 = 200,998/x
  3. Step 3: Cross multiply
    132,944x = 200,998 × 200,998
  4. Step 4: Simplify right side
    132,944x = 40,400,196,004
  5. Step 5: Solve for x
    x = 40,400,196,004/132,944
  6. Step 6: Final answer
    x = 303,888.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.