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Finding the Third Proportional to 147,590.44 and 273,003.75

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Solution

The third proportional to 147,590.44 and 273,003.75 is: 504,985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,590.44 : 273,003.75 = 273,003.75 : x
  2. Step 2: Convert to fraction form
    147,590.44/273,003.75 = 273,003.75/x
  3. Step 3: Cross multiply
    147,590.44x = 273,003.75 × 273,003.75
  4. Step 4: Simplify right side
    147,590.44x = 74,531,047,514.06
  5. Step 5: Solve for x
    x = 74,531,047,514.06/147,590.44
  6. Step 6: Final answer
    x = 504,985.61

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.