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Finding the Third Proportional to 233,195.63 and 515,396.25

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Solution

The third proportional to 233,195.63 and 515,396.25 is: 1,139,100.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,195.63 : 515,396.25 = 515,396.25 : x
  2. Step 2: Convert to fraction form
    233,195.63/515,396.25 = 515,396.25/x
  3. Step 3: Cross multiply
    233,195.63x = 515,396.25 × 515,396.25
  4. Step 4: Simplify right side
    233,195.63x = 265,633,294,514.06
  5. Step 5: Solve for x
    x = 265,633,294,514.06/233,195.63
  6. Step 6: Final answer
    x = 1,139,100.68

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.