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Finding the Third Proportional to 183,501 and 389,052

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Solution

The third proportional to 183,501 and 389,052 is: 824,853.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,501 : 389,052 = 389,052 : x
  2. Step 2: Convert to fraction form
    183,501/389,052 = 389,052/x
  3. Step 3: Cross multiply
    183,501x = 389,052 × 389,052
  4. Step 4: Simplify right side
    183,501x = 151,361,458,704
  5. Step 5: Solve for x
    x = 151,361,458,704/183,501
  6. Step 6: Final answer
    x = 824,853.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.