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Finding the Third Proportional to 104,359.50 and 228,399

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Solution

The third proportional to 104,359.50 and 228,399 is: 499,869.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,359.50 : 228,399 = 228,399 : x
  2. Step 2: Convert to fraction form
    104,359.50/228,399 = 228,399/x
  3. Step 3: Cross multiply
    104,359.50x = 228,399 × 228,399
  4. Step 4: Simplify right side
    104,359.50x = 52,166,103,201
  5. Step 5: Solve for x
    x = 52,166,103,201/104,359.50
  6. Step 6: Final answer
    x = 499,869.23

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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.