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Finding the Third Proportional to 137,626.59 and 302,317.31

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Solution

The third proportional to 137,626.59 and 302,317.31 is: 664,085.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,626.59 : 302,317.31 = 302,317.31 : x
  2. Step 2: Convert to fraction form
    137,626.59/302,317.31 = 302,317.31/x
  3. Step 3: Cross multiply
    137,626.59x = 302,317.31 × 302,317.31
  4. Step 4: Simplify right side
    137,626.59x = 91,395,757,437.22
  5. Step 5: Solve for x
    x = 91,395,757,437.22/137,626.59
  6. Step 6: Final answer
    x = 664,085.01

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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.