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Finding the Third Proportional to 114,230.25 and 170,687.25

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Solution

The third proportional to 114,230.25 and 170,687.25 is: 255,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,230.25 : 170,687.25 = 170,687.25 : x
  2. Step 2: Convert to fraction form
    114,230.25/170,687.25 = 170,687.25/x
  3. Step 3: Cross multiply
    114,230.25x = 170,687.25 × 170,687.25
  4. Step 4: Simplify right side
    114,230.25x = 29,134,137,312.56
  5. Step 5: Solve for x
    x = 29,134,137,312.56/114,230.25
  6. Step 6: Final answer
    x = 255,047.48

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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.