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Finding the Third Proportional to 183,200 and 401,824

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Solution

The third proportional to 183,200 and 401,824 is: 881,345.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,200 : 401,824 = 401,824 : x
  2. Step 2: Convert to fraction form
    183,200/401,824 = 401,824/x
  3. Step 3: Cross multiply
    183,200x = 401,824 × 401,824
  4. Step 4: Simplify right side
    183,200x = 161,462,526,976
  5. Step 5: Solve for x
    x = 161,462,526,976/183,200
  6. Step 6: Final answer
    x = 881,345.67

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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.