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Finding the Third Proportional to 182,072 and 371,373

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Solution

The third proportional to 182,072 and 371,373 is: 757,491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,072 : 371,373 = 371,373 : x
  2. Step 2: Convert to fraction form
    182,072/371,373 = 371,373/x
  3. Step 3: Cross multiply
    182,072x = 371,373 × 371,373
  4. Step 4: Simplify right side
    182,072x = 137,917,905,129
  5. Step 5: Solve for x
    x = 137,917,905,129/182,072
  6. Step 6: Final answer
    x = 757,491.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.