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Finding the Third Proportional to 177,995 and 388,813

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Solution

The third proportional to 177,995 and 388,813 is: 849,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,995 : 388,813 = 388,813 : x
  2. Step 2: Convert to fraction form
    177,995/388,813 = 388,813/x
  3. Step 3: Cross multiply
    177,995x = 388,813 × 388,813
  4. Step 4: Simplify right side
    177,995x = 151,175,548,969
  5. Step 5: Solve for x
    x = 151,175,548,969/177,995
  6. Step 6: Final answer
    x = 849,324.69

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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.