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Finding the Third Proportional to 237,931.50 and 515,067

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Solution

The third proportional to 237,931.50 and 515,067 is: 1,115,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,931.50 : 515,067 = 515,067 : x
  2. Step 2: Convert to fraction form
    237,931.50/515,067 = 515,067/x
  3. Step 3: Cross multiply
    237,931.50x = 515,067 × 515,067
  4. Step 4: Simplify right side
    237,931.50x = 265,294,014,489
  5. Step 5: Solve for x
    x = 265,294,014,489/237,931.50
  6. Step 6: Final answer
    x = 1,115,001.65

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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.