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Finding the Third Proportional to 186,583.50 and 295,917.75

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Solution

The third proportional to 186,583.50 and 295,917.75 is: 469,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,583.50 : 295,917.75 = 295,917.75 : x
  2. Step 2: Convert to fraction form
    186,583.50/295,917.75 = 295,917.75/x
  3. Step 3: Cross multiply
    186,583.50x = 295,917.75 × 295,917.75
  4. Step 4: Simplify right side
    186,583.50x = 87,567,314,765.06
  5. Step 5: Solve for x
    x = 87,567,314,765.06/186,583.50
  6. Step 6: Final answer
    x = 469,319.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.