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Finding the Third Proportional to 137,627.63 and 302,319.75

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Solution

The third proportional to 137,627.63 and 302,319.75 is: 664,090.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,627.63 : 302,319.75 = 302,319.75 : x
  2. Step 2: Convert to fraction form
    137,627.63/302,319.75 = 302,319.75/x
  3. Step 3: Cross multiply
    137,627.63x = 302,319.75 × 302,319.75
  4. Step 4: Simplify right side
    137,627.63x = 91,397,231,240.06
  5. Step 5: Solve for x
    x = 91,397,231,240.06/137,627.63
  6. Step 6: Final answer
    x = 664,090.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.