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Finding the Third Proportional to 183,050 and 401,092

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Solution

The third proportional to 183,050 and 401,092 is: 878,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,050 : 401,092 = 401,092 : x
  2. Step 2: Convert to fraction form
    183,050/401,092 = 401,092/x
  3. Step 3: Cross multiply
    183,050x = 401,092 × 401,092
  4. Step 4: Simplify right side
    183,050x = 160,874,792,464
  5. Step 5: Solve for x
    x = 160,874,792,464/183,050
  6. Step 6: Final answer
    x = 878,857.10

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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.