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Finding the Third Proportional to 183,798 and 281,103.50

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Solution

The third proportional to 183,798 and 281,103.50 is: 429,924.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,798 : 281,103.50 = 281,103.50 : x
  2. Step 2: Convert to fraction form
    183,798/281,103.50 = 281,103.50/x
  3. Step 3: Cross multiply
    183,798x = 281,103.50 × 281,103.50
  4. Step 4: Simplify right side
    183,798x = 79,019,177,712.25
  5. Step 5: Solve for x
    x = 79,019,177,712.25/183,798
  6. Step 6: Final answer
    x = 429,924.03

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.