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Finding the Third Proportional to 181,113.75 and 393,465.38

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Solution

The third proportional to 181,113.75 and 393,465.38 is: 854,794.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,113.75 : 393,465.38 = 393,465.38 : x
  2. Step 2: Convert to fraction form
    181,113.75/393,465.38 = 393,465.38/x
  3. Step 3: Cross multiply
    181,113.75x = 393,465.38 × 393,465.38
  4. Step 4: Simplify right side
    181,113.75x = 154,815,001,323.89
  5. Step 5: Solve for x
    x = 154,815,001,323.89/181,113.75
  6. Step 6: Final answer
    x = 854,794.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.