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Finding the Third Proportional to 179,072 and 382,728

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Solution

The third proportional to 179,072 and 382,728 is: 817,999.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,072 : 382,728 = 382,728 : x
  2. Step 2: Convert to fraction form
    179,072/382,728 = 382,728/x
  3. Step 3: Cross multiply
    179,072x = 382,728 × 382,728
  4. Step 4: Simplify right side
    179,072x = 146,480,721,984
  5. Step 5: Solve for x
    x = 146,480,721,984/179,072
  6. Step 6: Final answer
    x = 817,999.03

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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.