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Finding the Third Proportional to 114,160.50 and 180,759.75

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Solution

The third proportional to 114,160.50 and 180,759.75 is: 286,211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,160.50 : 180,759.75 = 180,759.75 : x
  2. Step 2: Convert to fraction form
    114,160.50/180,759.75 = 180,759.75/x
  3. Step 3: Cross multiply
    114,160.50x = 180,759.75 × 180,759.75
  4. Step 4: Simplify right side
    114,160.50x = 32,674,087,220.06
  5. Step 5: Solve for x
    x = 32,674,087,220.06/114,160.50
  6. Step 6: Final answer
    x = 286,211.84

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.