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Finding the Third Proportional to 225,959.63 and 309,840.19

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Solution

The third proportional to 225,959.63 and 309,840.19 is: 424,858.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,959.63 : 309,840.19 = 309,840.19 : x
  2. Step 2: Convert to fraction form
    225,959.63/309,840.19 = 309,840.19/x
  3. Step 3: Cross multiply
    225,959.63x = 309,840.19 × 309,840.19
  4. Step 4: Simplify right side
    225,959.63x = 96,000,941,790.04
  5. Step 5: Solve for x
    x = 96,000,941,790.04/225,959.63
  6. Step 6: Final answer
    x = 424,858.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.