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Finding the Third Proportional to 117,586.50 and 177,473.25

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Solution

The third proportional to 117,586.50 and 177,473.25 is: 267,860.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,586.50 : 177,473.25 = 177,473.25 : x
  2. Step 2: Convert to fraction form
    117,586.50/177,473.25 = 177,473.25/x
  3. Step 3: Cross multiply
    117,586.50x = 177,473.25 × 177,473.25
  4. Step 4: Simplify right side
    117,586.50x = 31,496,754,465.56
  5. Step 5: Solve for x
    x = 31,496,754,465.56/117,586.50
  6. Step 6: Final answer
    x = 267,860.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.