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Finding the Third Proportional to 116,888.50 and 255,647

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Solution

The third proportional to 116,888.50 and 255,647 is: 559,125.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,888.50 : 255,647 = 255,647 : x
  2. Step 2: Convert to fraction form
    116,888.50/255,647 = 255,647/x
  3. Step 3: Cross multiply
    116,888.50x = 255,647 × 255,647
  4. Step 4: Simplify right side
    116,888.50x = 65,355,388,609
  5. Step 5: Solve for x
    x = 65,355,388,609/116,888.50
  6. Step 6: Final answer
    x = 559,125.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.