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Finding the Third Proportional to 183,657 and 269,197.50

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Solution

The third proportional to 183,657 and 269,197.50 is: 394,579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,657 : 269,197.50 = 269,197.50 : x
  2. Step 2: Convert to fraction form
    183,657/269,197.50 = 269,197.50/x
  3. Step 3: Cross multiply
    183,657x = 269,197.50 × 269,197.50
  4. Step 4: Simplify right side
    183,657x = 72,467,294,006.25
  5. Step 5: Solve for x
    x = 72,467,294,006.25/183,657
  6. Step 6: Final answer
    x = 394,579.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.