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Finding the Third Proportional to 237,067.88 and 513,501.75

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Solution

The third proportional to 237,067.88 and 513,501.75 is: 1,112,272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,067.88 : 513,501.75 = 513,501.75 : x
  2. Step 2: Convert to fraction form
    237,067.88/513,501.75 = 513,501.75/x
  3. Step 3: Cross multiply
    237,067.88x = 513,501.75 × 513,501.75
  4. Step 4: Simplify right side
    237,067.88x = 263,684,047,253.06
  5. Step 5: Solve for x
    x = 263,684,047,253.06/237,067.88
  6. Step 6: Final answer
    x = 1,112,272.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.