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Finding the Third Proportional to 232,000.50 and 352,861.50

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Solution

The third proportional to 232,000.50 and 352,861.50 is: 536,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,000.50 : 352,861.50 = 352,861.50 : x
  2. Step 2: Convert to fraction form
    232,000.50/352,861.50 = 352,861.50/x
  3. Step 3: Cross multiply
    232,000.50x = 352,861.50 × 352,861.50
  4. Step 4: Simplify right side
    232,000.50x = 124,511,238,182.25
  5. Step 5: Solve for x
    x = 124,511,238,182.25/232,000.50
  6. Step 6: Final answer
    x = 536,685.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.