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Finding the Third Proportional to 183,709.50 and 281,031.75

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Solution

The third proportional to 183,709.50 and 281,031.75 is: 429,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,709.50 : 281,031.75 = 281,031.75 : x
  2. Step 2: Convert to fraction form
    183,709.50/281,031.75 = 281,031.75/x
  3. Step 3: Cross multiply
    183,709.50x = 281,031.75 × 281,031.75
  4. Step 4: Simplify right side
    183,709.50x = 78,978,844,508.06
  5. Step 5: Solve for x
    x = 78,978,844,508.06/183,709.50
  6. Step 6: Final answer
    x = 429,911.60

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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.