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Finding the Third Proportional to 104,004 and 228,096

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Solution

The third proportional to 104,004 and 228,096 is: 500,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,004 : 228,096 = 228,096 : x
  2. Step 2: Convert to fraction form
    104,004/228,096 = 228,096/x
  3. Step 3: Cross multiply
    104,004x = 228,096 × 228,096
  4. Step 4: Simplify right side
    104,004x = 52,027,785,216
  5. Step 5: Solve for x
    x = 52,027,785,216/104,004
  6. Step 6: Final answer
    x = 500,247.93

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1.5x scale

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.