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Finding the Third Proportional to 137,426.63 and 295,629.75

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Solution

The third proportional to 137,426.63 and 295,629.75 is: 635,953.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,426.63 : 295,629.75 = 295,629.75 : x
  2. Step 2: Convert to fraction form
    137,426.63/295,629.75 = 295,629.75/x
  3. Step 3: Cross multiply
    137,426.63x = 295,629.75 × 295,629.75
  4. Step 4: Simplify right side
    137,426.63x = 87,396,949,085.06
  5. Step 5: Solve for x
    x = 87,396,949,085.06/137,426.63
  6. Step 6: Final answer
    x = 635,953.54

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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.