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Finding the Third Proportional to 105,364 and 228,296

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Solution

The third proportional to 105,364 and 228,296 is: 494,657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,364 : 228,296 = 228,296 : x
  2. Step 2: Convert to fraction form
    105,364/228,296 = 228,296/x
  3. Step 3: Cross multiply
    105,364x = 228,296 × 228,296
  4. Step 4: Simplify right side
    105,364x = 52,119,063,616
  5. Step 5: Solve for x
    x = 52,119,063,616/105,364
  6. Step 6: Final answer
    x = 494,657.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.