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Finding the Third Proportional to 237,930.75 and 515,063.25

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Solution

The third proportional to 237,930.75 and 515,063.25 is: 1,114,988.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,930.75 : 515,063.25 = 515,063.25 : x
  2. Step 2: Convert to fraction form
    237,930.75/515,063.25 = 515,063.25/x
  3. Step 3: Cross multiply
    237,930.75x = 515,063.25 × 515,063.25
  4. Step 4: Simplify right side
    237,930.75x = 265,290,151,500.56
  5. Step 5: Solve for x
    x = 265,290,151,500.56/237,930.75
  6. Step 6: Final answer
    x = 1,114,988.93

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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.