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Finding the Third Proportional to 104,048.50 and 228,349

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Solution

The third proportional to 104,048.50 and 228,349 is: 501,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,048.50 : 228,349 = 228,349 : x
  2. Step 2: Convert to fraction form
    104,048.50/228,349 = 228,349/x
  3. Step 3: Cross multiply
    104,048.50x = 228,349 × 228,349
  4. Step 4: Simplify right side
    104,048.50x = 52,143,265,801
  5. Step 5: Solve for x
    x = 52,143,265,801/104,048.50
  6. Step 6: Final answer
    x = 501,143.85

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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.