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Finding the Third Proportional to 183,108.50 and 274,483.50

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Solution

The third proportional to 183,108.50 and 274,483.50 is: 411,456.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,108.50 : 274,483.50 = 274,483.50 : x
  2. Step 2: Convert to fraction form
    183,108.50/274,483.50 = 274,483.50/x
  3. Step 3: Cross multiply
    183,108.50x = 274,483.50 × 274,483.50
  4. Step 4: Simplify right side
    183,108.50x = 75,341,191,772.25
  5. Step 5: Solve for x
    x = 75,341,191,772.25/183,108.50
  6. Step 6: Final answer
    x = 411,456.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.