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Finding the Third Proportional to 183,887 and 281,179

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Solution

The third proportional to 183,887 and 281,179 is: 429,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,887 : 281,179 = 281,179 : x
  2. Step 2: Convert to fraction form
    183,887/281,179 = 281,179/x
  3. Step 3: Cross multiply
    183,887x = 281,179 × 281,179
  4. Step 4: Simplify right side
    183,887x = 79,061,630,041
  5. Step 5: Solve for x
    x = 79,061,630,041/183,887
  6. Step 6: Final answer
    x = 429,946.82

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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.