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Finding the Third Proportional to 182,723.34 and 281,216.81

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Solution

The third proportional to 182,723.34 and 281,216.81 is: 432,801.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,723.34 : 281,216.81 = 281,216.81 : x
  2. Step 2: Convert to fraction form
    182,723.34/281,216.81 = 281,216.81/x
  3. Step 3: Cross multiply
    182,723.34x = 281,216.81 × 281,216.81
  4. Step 4: Simplify right side
    182,723.34x = 79,082,895,632.66
  5. Step 5: Solve for x
    x = 79,082,895,632.66/182,723.34
  6. Step 6: Final answer
    x = 432,801.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.