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Finding the Third Proportional to 179,942.25 and 393,783

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Solution

The third proportional to 179,942.25 and 393,783 is: 861,748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,942.25 : 393,783 = 393,783 : x
  2. Step 2: Convert to fraction form
    179,942.25/393,783 = 393,783/x
  3. Step 3: Cross multiply
    179,942.25x = 393,783 × 393,783
  4. Step 4: Simplify right side
    179,942.25x = 155,065,051,089
  5. Step 5: Solve for x
    x = 155,065,051,089/179,942.25
  6. Step 6: Final answer
    x = 861,748.98

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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.