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Finding the Third Proportional to 183,463.50 and 280,667

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Solution

The third proportional to 183,463.50 and 280,667 is: 429,371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,463.50 : 280,667 = 280,667 : x
  2. Step 2: Convert to fraction form
    183,463.50/280,667 = 280,667/x
  3. Step 3: Cross multiply
    183,463.50x = 280,667 × 280,667
  4. Step 4: Simplify right side
    183,463.50x = 78,773,964,889
  5. Step 5: Solve for x
    x = 78,773,964,889/183,463.50
  6. Step 6: Final answer
    x = 429,371.32

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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.