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Finding the Third Proportional to 237,112.31 and 355,676.06

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Solution

The third proportional to 237,112.31 and 355,676.06 is: 533,525.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,112.31 : 355,676.06 = 355,676.06 : x
  2. Step 2: Convert to fraction form
    237,112.31/355,676.06 = 355,676.06/x
  3. Step 3: Cross multiply
    237,112.31x = 355,676.06 × 355,676.06
  4. Step 4: Simplify right side
    237,112.31x = 126,505,461,435.50
  5. Step 5: Solve for x
    x = 126,505,461,435.50/237,112.31
  6. Step 6: Final answer
    x = 533,525.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.