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Finding the Third Proportional to 104,631.75 and 228,825

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Solution

The third proportional to 104,631.75 and 228,825 is: 500,430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,631.75 : 228,825 = 228,825 : x
  2. Step 2: Convert to fraction form
    104,631.75/228,825 = 228,825/x
  3. Step 3: Cross multiply
    104,631.75x = 228,825 × 228,825
  4. Step 4: Simplify right side
    104,631.75x = 52,360,880,625
  5. Step 5: Solve for x
    x = 52,360,880,625/104,631.75
  6. Step 6: Final answer
    x = 500,430.13

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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.