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Finding the Third Proportional to 186,050.25 and 407,562.75

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Solution

The third proportional to 186,050.25 and 407,562.75 is: 892,809.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,050.25 : 407,562.75 = 407,562.75 : x
  2. Step 2: Convert to fraction form
    186,050.25/407,562.75 = 407,562.75/x
  3. Step 3: Cross multiply
    186,050.25x = 407,562.75 × 407,562.75
  4. Step 4: Simplify right side
    186,050.25x = 166,107,395,187.56
  5. Step 5: Solve for x
    x = 166,107,395,187.56/186,050.25
  6. Step 6: Final answer
    x = 892,809.31

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Why These Related Problems?

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