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Finding the Third Proportional to 234,048.75 and 504,147.75

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Solution

The third proportional to 234,048.75 and 504,147.75 is: 1,085,948.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,048.75 : 504,147.75 = 504,147.75 : x
  2. Step 2: Convert to fraction form
    234,048.75/504,147.75 = 504,147.75/x
  3. Step 3: Cross multiply
    234,048.75x = 504,147.75 × 504,147.75
  4. Step 4: Simplify right side
    234,048.75x = 254,164,953,830.06
  5. Step 5: Solve for x
    x = 254,164,953,830.06/234,048.75
  6. Step 6: Final answer
    x = 1,085,948.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.