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Finding the Third Proportional to 183,980 and 403,288

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Solution

The third proportional to 183,980 and 403,288 is: 884,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,980 : 403,288 = 403,288 : x
  2. Step 2: Convert to fraction form
    183,980/403,288 = 403,288/x
  3. Step 3: Cross multiply
    183,980x = 403,288 × 403,288
  4. Step 4: Simplify right side
    183,980x = 162,641,210,944
  5. Step 5: Solve for x
    x = 162,641,210,944/183,980
  6. Step 6: Final answer
    x = 884,015.71

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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.