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Finding the Third Proportional to 168,433 and 363,582

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Solution

The third proportional to 168,433 and 363,582 is: 784,833.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,433 : 363,582 = 363,582 : x
  2. Step 2: Convert to fraction form
    168,433/363,582 = 363,582/x
  3. Step 3: Cross multiply
    168,433x = 363,582 × 363,582
  4. Step 4: Simplify right side
    168,433x = 132,191,870,724
  5. Step 5: Solve for x
    x = 132,191,870,724/168,433
  6. Step 6: Final answer
    x = 784,833.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.