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Finding the Third Proportional to 116,645.50 and 180,436

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Solution

The third proportional to 116,645.50 and 180,436 is: 279,111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,645.50 : 180,436 = 180,436 : x
  2. Step 2: Convert to fraction form
    116,645.50/180,436 = 180,436/x
  3. Step 3: Cross multiply
    116,645.50x = 180,436 × 180,436
  4. Step 4: Simplify right side
    116,645.50x = 32,557,150,096
  5. Step 5: Solve for x
    x = 32,557,150,096/116,645.50
  6. Step 6: Final answer
    x = 279,111.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.