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Finding the Third Proportional to 174,627.56 and 263,307.38

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Solution

The third proportional to 174,627.56 and 263,307.38 is: 397,020.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,627.56 : 263,307.38 = 263,307.38 : x
  2. Step 2: Convert to fraction form
    174,627.56/263,307.38 = 263,307.38/x
  3. Step 3: Cross multiply
    174,627.56x = 263,307.38 × 263,307.38
  4. Step 4: Simplify right side
    174,627.56x = 69,330,773,729.39
  5. Step 5: Solve for x
    x = 69,330,773,729.39/174,627.56
  6. Step 6: Final answer
    x = 397,020.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.