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Finding the Third Proportional to 101,731 and 228,480.50

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Solution

The third proportional to 101,731 and 228,480.50 is: 513,150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,731 : 228,480.50 = 228,480.50 : x
  2. Step 2: Convert to fraction form
    101,731/228,480.50 = 228,480.50/x
  3. Step 3: Cross multiply
    101,731x = 228,480.50 × 228,480.50
  4. Step 4: Simplify right side
    101,731x = 52,203,338,880.25
  5. Step 5: Solve for x
    x = 52,203,338,880.25/101,731
  6. Step 6: Final answer
    x = 513,150.75

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.