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Finding the Third Proportional to 166,042.50 and 259,432.50

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Solution

The third proportional to 166,042.50 and 259,432.50 is: 405,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,042.50 : 259,432.50 = 259,432.50 : x
  2. Step 2: Convert to fraction form
    166,042.50/259,432.50 = 259,432.50/x
  3. Step 3: Cross multiply
    166,042.50x = 259,432.50 × 259,432.50
  4. Step 4: Simplify right side
    166,042.50x = 67,305,222,056.25
  5. Step 5: Solve for x
    x = 67,305,222,056.25/166,042.50
  6. Step 6: Final answer
    x = 405,349.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.