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Finding the Third Proportional to 114,689.50 and 269,840.75

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Solution

The third proportional to 114,689.50 and 269,840.75 is: 634,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,689.50 : 269,840.75 = 269,840.75 : x
  2. Step 2: Convert to fraction form
    114,689.50/269,840.75 = 269,840.75/x
  3. Step 3: Cross multiply
    114,689.50x = 269,840.75 × 269,840.75
  4. Step 4: Simplify right side
    114,689.50x = 72,814,030,360.56
  5. Step 5: Solve for x
    x = 72,814,030,360.56/114,689.50
  6. Step 6: Final answer
    x = 634,879.66

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.