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Finding the Third Proportional to 170,838 and 254,868.75

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Solution

The third proportional to 170,838 and 254,868.75 is: 380,232.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,838 : 254,868.75 = 254,868.75 : x
  2. Step 2: Convert to fraction form
    170,838/254,868.75 = 254,868.75/x
  3. Step 3: Cross multiply
    170,838x = 254,868.75 × 254,868.75
  4. Step 4: Simplify right side
    170,838x = 64,958,079,726.56
  5. Step 5: Solve for x
    x = 64,958,079,726.56/170,838
  6. Step 6: Final answer
    x = 380,232.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.