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Finding the Third Proportional to 102,000.50 and 223,299

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Solution

The third proportional to 102,000.50 and 223,299 is: 488,845.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,000.50 : 223,299 = 223,299 : x
  2. Step 2: Convert to fraction form
    102,000.50/223,299 = 223,299/x
  3. Step 3: Cross multiply
    102,000.50x = 223,299 × 223,299
  4. Step 4: Simplify right side
    102,000.50x = 49,862,443,401
  5. Step 5: Solve for x
    x = 49,862,443,401/102,000.50
  6. Step 6: Final answer
    x = 488,845.09

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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.