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Finding the Third Proportional to 178,483 and 388,070

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Solution

The third proportional to 178,483 and 388,070 is: 843,768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,483 : 388,070 = 388,070 : x
  2. Step 2: Convert to fraction form
    178,483/388,070 = 388,070/x
  3. Step 3: Cross multiply
    178,483x = 388,070 × 388,070
  4. Step 4: Simplify right side
    178,483x = 150,598,324,900
  5. Step 5: Solve for x
    x = 150,598,324,900/178,483
  6. Step 6: Final answer
    x = 843,768.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.