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Finding the Third Proportional to 183,051 and 395,709.75

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Solution

The third proportional to 183,051 and 395,709.75 is: 855,423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,051 : 395,709.75 = 395,709.75 : x
  2. Step 2: Convert to fraction form
    183,051/395,709.75 = 395,709.75/x
  3. Step 3: Cross multiply
    183,051x = 395,709.75 × 395,709.75
  4. Step 4: Simplify right side
    183,051x = 156,586,206,245.06
  5. Step 5: Solve for x
    x = 156,586,206,245.06/183,051
  6. Step 6: Final answer
    x = 855,423.93

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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.