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Finding the Third Proportional to 104,827.25 and 230,247.50

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Solution

The third proportional to 104,827.25 and 230,247.50 is: 505,726.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,827.25 : 230,247.50 = 230,247.50 : x
  2. Step 2: Convert to fraction form
    104,827.25/230,247.50 = 230,247.50/x
  3. Step 3: Cross multiply
    104,827.25x = 230,247.50 × 230,247.50
  4. Step 4: Simplify right side
    104,827.25x = 53,013,911,256.25
  5. Step 5: Solve for x
    x = 53,013,911,256.25/104,827.25
  6. Step 6: Final answer
    x = 505,726.43

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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.