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Finding the Third Proportional to 183,155.25 and 395,946

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Solution

The third proportional to 183,155.25 and 395,946 is: 855,958.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,155.25 : 395,946 = 395,946 : x
  2. Step 2: Convert to fraction form
    183,155.25/395,946 = 395,946/x
  3. Step 3: Cross multiply
    183,155.25x = 395,946 × 395,946
  4. Step 4: Simplify right side
    183,155.25x = 156,773,234,916
  5. Step 5: Solve for x
    x = 156,773,234,916/183,155.25
  6. Step 6: Final answer
    x = 855,958.18

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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.