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Finding the Third Proportional to 137,796.19 and 295,274.53

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Solution

The third proportional to 137,796.19 and 295,274.53 is: 632,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,796.19 : 295,274.53 = 295,274.53 : x
  2. Step 2: Convert to fraction form
    137,796.19/295,274.53 = 295,274.53/x
  3. Step 3: Cross multiply
    137,796.19x = 295,274.53 × 295,274.53
  4. Step 4: Simplify right side
    137,796.19x = 87,187,048,804.91
  5. Step 5: Solve for x
    x = 87,187,048,804.91/137,796.19
  6. Step 6: Final answer
    x = 632,724.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.