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Finding the Third Proportional to 105,360 and 228,288

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Solution

The third proportional to 105,360 and 228,288 is: 494,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,360 : 228,288 = 228,288 : x
  2. Step 2: Convert to fraction form
    105,360/228,288 = 228,288/x
  3. Step 3: Cross multiply
    105,360x = 228,288 × 228,288
  4. Step 4: Simplify right side
    105,360x = 52,115,410,944
  5. Step 5: Solve for x
    x = 52,115,410,944/105,360
  6. Step 6: Final answer
    x = 494,641.33

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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.