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Finding the Third Proportional to 104,515.50 and 229,840.50

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Solution

The third proportional to 104,515.50 and 229,840.50 is: 505,443.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,515.50 : 229,840.50 = 229,840.50 : x
  2. Step 2: Convert to fraction form
    104,515.50/229,840.50 = 229,840.50/x
  3. Step 3: Cross multiply
    104,515.50x = 229,840.50 × 229,840.50
  4. Step 4: Simplify right side
    104,515.50x = 52,826,655,440.25
  5. Step 5: Solve for x
    x = 52,826,655,440.25/104,515.50
  6. Step 6: Final answer
    x = 505,443.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.