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Finding the Third Proportional to 183,191.50 and 261,483

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Solution

The third proportional to 183,191.50 and 261,483 is: 373,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,191.50 : 261,483 = 261,483 : x
  2. Step 2: Convert to fraction form
    183,191.50/261,483 = 261,483/x
  3. Step 3: Cross multiply
    183,191.50x = 261,483 × 261,483
  4. Step 4: Simplify right side
    183,191.50x = 68,373,359,289
  5. Step 5: Solve for x
    x = 68,373,359,289/183,191.50
  6. Step 6: Final answer
    x = 373,234.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.