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Finding the Third Proportional to 181,767 and 388,806

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Solution

The third proportional to 181,767 and 388,806 is: 831,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,767 : 388,806 = 388,806 : x
  2. Step 2: Convert to fraction form
    181,767/388,806 = 388,806/x
  3. Step 3: Cross multiply
    181,767x = 388,806 × 388,806
  4. Step 4: Simplify right side
    181,767x = 151,170,105,636
  5. Step 5: Solve for x
    x = 151,170,105,636/181,767
  6. Step 6: Final answer
    x = 831,669.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.