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Finding the Third Proportional to 182,854 and 399,884

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Solution

The third proportional to 182,854 and 399,884 is: 874,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,854 : 399,884 = 399,884 : x
  2. Step 2: Convert to fraction form
    182,854/399,884 = 399,884/x
  3. Step 3: Cross multiply
    182,854x = 399,884 × 399,884
  4. Step 4: Simplify right side
    182,854x = 159,907,213,456
  5. Step 5: Solve for x
    x = 159,907,213,456/182,854
  6. Step 6: Final answer
    x = 874,507.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.