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Finding the Third Proportional to 146,255.63 and 286,314.75

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Solution

The third proportional to 146,255.63 and 286,314.75 is: 560,499.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,255.63 : 286,314.75 = 286,314.75 : x
  2. Step 2: Convert to fraction form
    146,255.63/286,314.75 = 286,314.75/x
  3. Step 3: Cross multiply
    146,255.63x = 286,314.75 × 286,314.75
  4. Step 4: Simplify right side
    146,255.63x = 81,976,136,067.56
  5. Step 5: Solve for x
    x = 81,976,136,067.56/146,255.63
  6. Step 6: Final answer
    x = 560,499.03

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.