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Finding the Third Proportional to 183,054 and 401,100

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Solution

The third proportional to 183,054 and 401,100 is: 878,872.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,054 : 401,100 = 401,100 : x
  2. Step 2: Convert to fraction form
    183,054/401,100 = 401,100/x
  3. Step 3: Cross multiply
    183,054x = 401,100 × 401,100
  4. Step 4: Simplify right side
    183,054x = 160,881,210,000
  5. Step 5: Solve for x
    x = 160,881,210,000/183,054
  6. Step 6: Final answer
    x = 878,872.96

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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.