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Finding the Third Proportional to 183,402 and 401,794

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Solution

The third proportional to 183,402 and 401,794 is: 880,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,402 : 401,794 = 401,794 : x
  2. Step 2: Convert to fraction form
    183,402/401,794 = 401,794/x
  3. Step 3: Cross multiply
    183,402x = 401,794 × 401,794
  4. Step 4: Simplify right side
    183,402x = 161,438,418,436
  5. Step 5: Solve for x
    x = 161,438,418,436/183,402
  6. Step 6: Final answer
    x = 880,243.50

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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.