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Finding the Third Proportional to 191,546 and 388,560

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Solution

The third proportional to 191,546 and 388,560 is: 788,212.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,546 : 388,560 = 388,560 : x
  2. Step 2: Convert to fraction form
    191,546/388,560 = 388,560/x
  3. Step 3: Cross multiply
    191,546x = 388,560 × 388,560
  4. Step 4: Simplify right side
    191,546x = 150,978,873,600
  5. Step 5: Solve for x
    x = 150,978,873,600/191,546
  6. Step 6: Final answer
    x = 788,212.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.