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Finding the Third Proportional to 183,404 and 401,798

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Solution

The third proportional to 183,404 and 401,798 is: 880,251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,404 : 401,798 = 401,798 : x
  2. Step 2: Convert to fraction form
    183,404/401,798 = 401,798/x
  3. Step 3: Cross multiply
    183,404x = 401,798 × 401,798
  4. Step 4: Simplify right side
    183,404x = 161,441,632,804
  5. Step 5: Solve for x
    x = 161,441,632,804/183,404
  6. Step 6: Final answer
    x = 880,251.43

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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.