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Finding the Third Proportional to 183,214 and 401,852

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Solution

The third proportional to 183,214 and 401,852 is: 881,401.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,214 : 401,852 = 401,852 : x
  2. Step 2: Convert to fraction form
    183,214/401,852 = 401,852/x
  3. Step 3: Cross multiply
    183,214x = 401,852 × 401,852
  4. Step 4: Simplify right side
    183,214x = 161,485,029,904
  5. Step 5: Solve for x
    x = 161,485,029,904/183,214
  6. Step 6: Final answer
    x = 881,401.15

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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.