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Finding the Third Proportional to 185,359.50 and 330,835.50

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Solution

The third proportional to 185,359.50 and 330,835.50 is: 590,485.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,359.50 : 330,835.50 = 330,835.50 : x
  2. Step 2: Convert to fraction form
    185,359.50/330,835.50 = 330,835.50/x
  3. Step 3: Cross multiply
    185,359.50x = 330,835.50 × 330,835.50
  4. Step 4: Simplify right side
    185,359.50x = 109,452,128,060.25
  5. Step 5: Solve for x
    x = 109,452,128,060.25/185,359.50
  6. Step 6: Final answer
    x = 590,485.67

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.