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Finding the Third Proportional to 104,520 and 228,672

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Solution

The third proportional to 104,520 and 228,672 is: 500,295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,520 : 228,672 = 228,672 : x
  2. Step 2: Convert to fraction form
    104,520/228,672 = 228,672/x
  3. Step 3: Cross multiply
    104,520x = 228,672 × 228,672
  4. Step 4: Simplify right side
    104,520x = 52,290,883,584
  5. Step 5: Solve for x
    x = 52,290,883,584/104,520
  6. Step 6: Final answer
    x = 500,295.48

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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.