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Finding the Third Proportional to 225,605.25 and 488,025

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Solution

The third proportional to 225,605.25 and 488,025 is: 1,055,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,605.25 : 488,025 = 488,025 : x
  2. Step 2: Convert to fraction form
    225,605.25/488,025 = 488,025/x
  3. Step 3: Cross multiply
    225,605.25x = 488,025 × 488,025
  4. Step 4: Simplify right side
    225,605.25x = 238,168,400,625
  5. Step 5: Solve for x
    x = 238,168,400,625/225,605.25
  6. Step 6: Final answer
    x = 1,055,686.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.