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Finding the Third Proportional to 190,558.41 and 261,297.84

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Solution

The third proportional to 190,558.41 and 261,297.84 is: 358,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,558.41 : 261,297.84 = 261,297.84 : x
  2. Step 2: Convert to fraction form
    190,558.41/261,297.84 = 261,297.84/x
  3. Step 3: Cross multiply
    190,558.41x = 261,297.84 × 261,297.84
  4. Step 4: Simplify right side
    190,558.41x = 68,276,563,148.40
  5. Step 5: Solve for x
    x = 68,276,563,148.40/190,558.41
  6. Step 6: Final answer
    x = 358,297.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.