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Finding the Third Proportional to 273,096.56 and 557,037

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Solution

The third proportional to 273,096.56 and 557,037 is: 1,136,192.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,096.56 : 557,037 = 557,037 : x
  2. Step 2: Convert to fraction form
    273,096.56/557,037 = 557,037/x
  3. Step 3: Cross multiply
    273,096.56x = 557,037 × 557,037
  4. Step 4: Simplify right side
    273,096.56x = 310,290,219,369
  5. Step 5: Solve for x
    x = 310,290,219,369/273,096.56
  6. Step 6: Final answer
    x = 1,136,192.33

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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.