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Finding the Third Proportional to 211,457.25 and 323,883

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Solution

The third proportional to 211,457.25 and 323,883 is: 496,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,457.25 : 323,883 = 323,883 : x
  2. Step 2: Convert to fraction form
    211,457.25/323,883 = 323,883/x
  3. Step 3: Cross multiply
    211,457.25x = 323,883 × 323,883
  4. Step 4: Simplify right side
    211,457.25x = 104,900,197,689
  5. Step 5: Solve for x
    x = 104,900,197,689/211,457.25
  6. Step 6: Final answer
    x = 496,082.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.