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Finding the Third Proportional to 182,912.50 and 399,341

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Solution

The third proportional to 182,912.50 and 399,341 is: 871,855.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,912.50 : 399,341 = 399,341 : x
  2. Step 2: Convert to fraction form
    182,912.50/399,341 = 399,341/x
  3. Step 3: Cross multiply
    182,912.50x = 399,341 × 399,341
  4. Step 4: Simplify right side
    182,912.50x = 159,473,234,281
  5. Step 5: Solve for x
    x = 159,473,234,281/182,912.50
  6. Step 6: Final answer
    x = 871,855.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.