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Finding the Third Proportional to 183,216 and 401,856

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Solution

The third proportional to 183,216 and 401,856 is: 881,409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,216 : 401,856 = 401,856 : x
  2. Step 2: Convert to fraction form
    183,216/401,856 = 401,856/x
  3. Step 3: Cross multiply
    183,216x = 401,856 × 401,856
  4. Step 4: Simplify right side
    183,216x = 161,488,244,736
  5. Step 5: Solve for x
    x = 161,488,244,736/183,216
  6. Step 6: Final answer
    x = 881,409.07

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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.