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Finding the Third Proportional to 182,350.50 and 397,897.50

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Solution

The third proportional to 182,350.50 and 397,897.50 is: 868,231.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,350.50 : 397,897.50 = 397,897.50 : x
  2. Step 2: Convert to fraction form
    182,350.50/397,897.50 = 397,897.50/x
  3. Step 3: Cross multiply
    182,350.50x = 397,897.50 × 397,897.50
  4. Step 4: Simplify right side
    182,350.50x = 158,322,420,506.25
  5. Step 5: Solve for x
    x = 158,322,420,506.25/182,350.50
  6. Step 6: Final answer
    x = 868,231.35

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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.