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Finding the Third Proportional to 170,912.75 and 265,328.75

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Solution

The third proportional to 170,912.75 and 265,328.75 is: 411,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,912.75 : 265,328.75 = 265,328.75 : x
  2. Step 2: Convert to fraction form
    170,912.75/265,328.75 = 265,328.75/x
  3. Step 3: Cross multiply
    170,912.75x = 265,328.75 × 265,328.75
  4. Step 4: Simplify right side
    170,912.75x = 70,399,345,576.56
  5. Step 5: Solve for x
    x = 70,399,345,576.56/170,912.75
  6. Step 6: Final answer
    x = 411,902.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.