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Finding the Third Proportional to 183,165.75 and 395,946.84

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Solution

The third proportional to 183,165.75 and 395,946.84 is: 855,912.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,165.75 : 395,946.84 = 395,946.84 : x
  2. Step 2: Convert to fraction form
    183,165.75/395,946.84 = 395,946.84/x
  3. Step 3: Cross multiply
    183,165.75x = 395,946.84 × 395,946.84
  4. Step 4: Simplify right side
    183,165.75x = 156,773,903,075.59
  5. Step 5: Solve for x
    x = 156,773,903,075.59/183,165.75
  6. Step 6: Final answer
    x = 855,912.76

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Why These Related Problems?

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