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Finding the Third Proportional to 104,004 and 224,600

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Solution

The third proportional to 104,004 and 224,600 is: 485,030.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,004 : 224,600 = 224,600 : x
  2. Step 2: Convert to fraction form
    104,004/224,600 = 224,600/x
  3. Step 3: Cross multiply
    104,004x = 224,600 × 224,600
  4. Step 4: Simplify right side
    104,004x = 50,445,160,000
  5. Step 5: Solve for x
    x = 50,445,160,000/104,004
  6. Step 6: Final answer
    x = 485,030.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.