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Finding the Third Proportional to 228,196 and 343,002

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Solution

The third proportional to 228,196 and 343,002 is: 515,567.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,196 : 343,002 = 343,002 : x
  2. Step 2: Convert to fraction form
    228,196/343,002 = 343,002/x
  3. Step 3: Cross multiply
    228,196x = 343,002 × 343,002
  4. Step 4: Simplify right side
    228,196x = 117,650,372,004
  5. Step 5: Solve for x
    x = 117,650,372,004/228,196
  6. Step 6: Final answer
    x = 515,567.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.