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Finding the Third Proportional to 177,954 and 388,737

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Solution

The third proportional to 177,954 and 388,737 is: 849,188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,954 : 388,737 = 388,737 : x
  2. Step 2: Convert to fraction form
    177,954/388,737 = 388,737/x
  3. Step 3: Cross multiply
    177,954x = 388,737 × 388,737
  4. Step 4: Simplify right side
    177,954x = 151,116,455,169
  5. Step 5: Solve for x
    x = 151,116,455,169/177,954
  6. Step 6: Final answer
    x = 849,188.30

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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.