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Finding the Third Proportional to 240,676.31 and 515,509.31

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Solution

The third proportional to 240,676.31 and 515,509.31 is: 1,104,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,676.31 : 515,509.31 = 515,509.31 : x
  2. Step 2: Convert to fraction form
    240,676.31/515,509.31 = 515,509.31/x
  3. Step 3: Cross multiply
    240,676.31x = 515,509.31 × 515,509.31
  4. Step 4: Simplify right side
    240,676.31x = 265,749,851,274.22
  5. Step 5: Solve for x
    x = 265,749,851,274.22/240,676.31
  6. Step 6: Final answer
    x = 1,104,179.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.