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Finding the Third Proportional to 228,200 and 302,852

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Solution

The third proportional to 228,200 and 302,852 is: 401,925.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,200 : 302,852 = 302,852 : x
  2. Step 2: Convert to fraction form
    228,200/302,852 = 302,852/x
  3. Step 3: Cross multiply
    228,200x = 302,852 × 302,852
  4. Step 4: Simplify right side
    228,200x = 91,719,333,904
  5. Step 5: Solve for x
    x = 91,719,333,904/228,200
  6. Step 6: Final answer
    x = 401,925.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.