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Finding the Third Proportional to 104,188 and 228,392

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Solution

The third proportional to 104,188 and 228,392 is: 500,661.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,188 : 228,392 = 228,392 : x
  2. Step 2: Convert to fraction form
    104,188/228,392 = 228,392/x
  3. Step 3: Cross multiply
    104,188x = 228,392 × 228,392
  4. Step 4: Simplify right side
    104,188x = 52,162,905,664
  5. Step 5: Solve for x
    x = 52,162,905,664/104,188
  6. Step 6: Final answer
    x = 500,661.36

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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.