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Finding the Third Proportional to 183,052 and 401,096

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Solution

The third proportional to 183,052 and 401,096 is: 878,865.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,052 : 401,096 = 401,096 : x
  2. Step 2: Convert to fraction form
    183,052/401,096 = 401,096/x
  3. Step 3: Cross multiply
    183,052x = 401,096 × 401,096
  4. Step 4: Simplify right side
    183,052x = 160,878,001,216
  5. Step 5: Solve for x
    x = 160,878,001,216/183,052
  6. Step 6: Final answer
    x = 878,865.03

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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.