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Finding the Third Proportional to 183,406 and 401,804

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Solution

The third proportional to 183,406 and 401,804 is: 880,268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,406 : 401,804 = 401,804 : x
  2. Step 2: Convert to fraction form
    183,406/401,804 = 401,804/x
  3. Step 3: Cross multiply
    183,406x = 401,804 × 401,804
  4. Step 4: Simplify right side
    183,406x = 161,446,454,416
  5. Step 5: Solve for x
    x = 161,446,454,416/183,406
  6. Step 6: Final answer
    x = 880,268.12

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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.