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Finding the Third Proportional to 252,936 and 381,072

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Solution

The third proportional to 252,936 and 381,072 is: 574,121.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,936 : 381,072 = 381,072 : x
  2. Step 2: Convert to fraction form
    252,936/381,072 = 381,072/x
  3. Step 3: Cross multiply
    252,936x = 381,072 × 381,072
  4. Step 4: Simplify right side
    252,936x = 145,215,869,184
  5. Step 5: Solve for x
    x = 145,215,869,184/252,936
  6. Step 6: Final answer
    x = 574,121.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.