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Finding the Third Proportional to 177,823 and 388,841

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Solution

The third proportional to 177,823 and 388,841 is: 850,268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,823 : 388,841 = 388,841 : x
  2. Step 2: Convert to fraction form
    177,823/388,841 = 388,841/x
  3. Step 3: Cross multiply
    177,823x = 388,841 × 388,841
  4. Step 4: Simplify right side
    177,823x = 151,197,323,281
  5. Step 5: Solve for x
    x = 151,197,323,281/177,823
  6. Step 6: Final answer
    x = 850,268.66

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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.