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Finding the Third Proportional to 183,902 and 281,205

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Solution

The third proportional to 183,902 and 281,205 is: 429,991.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,902 : 281,205 = 281,205 : x
  2. Step 2: Convert to fraction form
    183,902/281,205 = 281,205/x
  3. Step 3: Cross multiply
    183,902x = 281,205 × 281,205
  4. Step 4: Simplify right side
    183,902x = 79,076,252,025
  5. Step 5: Solve for x
    x = 79,076,252,025/183,902
  6. Step 6: Final answer
    x = 429,991.26

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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.