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Finding the Third Proportional to 182,709.42 and 281,196.56

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Solution

The third proportional to 182,709.42 and 281,196.56 is: 432,771.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,709.42 : 281,196.56 = 281,196.56 : x
  2. Step 2: Convert to fraction form
    182,709.42/281,196.56 = 281,196.56/x
  3. Step 3: Cross multiply
    182,709.42x = 281,196.56 × 281,196.56
  4. Step 4: Simplify right side
    182,709.42x = 79,071,506,761.82
  5. Step 5: Solve for x
    x = 79,071,506,761.82/182,709.42
  6. Step 6: Final answer
    x = 432,771.92

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