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Finding the Third Proportional to 158,658.75 and 330,439.50

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Solution

The third proportional to 158,658.75 and 330,439.50 is: 688,208.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,658.75 : 330,439.50 = 330,439.50 : x
  2. Step 2: Convert to fraction form
    158,658.75/330,439.50 = 330,439.50/x
  3. Step 3: Cross multiply
    158,658.75x = 330,439.50 × 330,439.50
  4. Step 4: Simplify right side
    158,658.75x = 109,190,263,160.25
  5. Step 5: Solve for x
    x = 109,190,263,160.25/158,658.75
  6. Step 6: Final answer
    x = 688,208.27

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.