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Finding the Third Proportional to 106,438.50 and 177,390

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Solution

The third proportional to 106,438.50 and 177,390 is: 295,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,438.50 : 177,390 = 177,390 : x
  2. Step 2: Convert to fraction form
    106,438.50/177,390 = 177,390/x
  3. Step 3: Cross multiply
    106,438.50x = 177,390 × 177,390
  4. Step 4: Simplify right side
    106,438.50x = 31,467,212,100
  5. Step 5: Solve for x
    x = 31,467,212,100/106,438.50
  6. Step 6: Final answer
    x = 295,637.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.