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Finding the Third Proportional to 96,004 and 224,288

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Solution

The third proportional to 96,004 and 224,288 is: 523,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,004 : 224,288 = 224,288 : x
  2. Step 2: Convert to fraction form
    96,004/224,288 = 224,288/x
  3. Step 3: Cross multiply
    96,004x = 224,288 × 224,288
  4. Step 4: Simplify right side
    96,004x = 50,305,106,944
  5. Step 5: Solve for x
    x = 50,305,106,944/96,004
  6. Step 6: Final answer
    x = 523,989.70

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.