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Finding the Third Proportional to 178,072 and 384,232

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Solution

The third proportional to 178,072 and 384,232 is: 829,070.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,072 : 384,232 = 384,232 : x
  2. Step 2: Convert to fraction form
    178,072/384,232 = 384,232/x
  3. Step 3: Cross multiply
    178,072x = 384,232 × 384,232
  4. Step 4: Simplify right side
    178,072x = 147,634,229,824
  5. Step 5: Solve for x
    x = 147,634,229,824/178,072
  6. Step 6: Final answer
    x = 829,070.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.