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Finding the Third Proportional to 114,684.19 and 269,855.16

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Solution

The third proportional to 114,684.19 and 269,855.16 is: 634,976.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,684.19 : 269,855.16 = 269,855.16 : x
  2. Step 2: Convert to fraction form
    114,684.19/269,855.16 = 269,855.16/x
  3. Step 3: Cross multiply
    114,684.19x = 269,855.16 × 269,855.16
  4. Step 4: Simplify right side
    114,684.19x = 72,821,805,354.71
  5. Step 5: Solve for x
    x = 72,821,805,354.71/114,684.19
  6. Step 6: Final answer
    x = 634,976.86

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