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Finding the Third Proportional to 183,885.75 and 281,176.88

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Solution

The third proportional to 183,885.75 and 281,176.88 is: 429,943.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,885.75 : 281,176.88 = 281,176.88 : x
  2. Step 2: Convert to fraction form
    183,885.75/281,176.88 = 281,176.88/x
  3. Step 3: Cross multiply
    183,885.75x = 281,176.88 × 281,176.88
  4. Step 4: Simplify right side
    183,885.75x = 79,060,435,034.77
  5. Step 5: Solve for x
    x = 79,060,435,034.77/183,885.75
  6. Step 6: Final answer
    x = 429,943.24

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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.