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Finding the Third Proportional to 186,051.25 and 407,564.75

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Solution

The third proportional to 186,051.25 and 407,564.75 is: 892,813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,051.25 : 407,564.75 = 407,564.75 : x
  2. Step 2: Convert to fraction form
    186,051.25/407,564.75 = 407,564.75/x
  3. Step 3: Cross multiply
    186,051.25x = 407,564.75 × 407,564.75
  4. Step 4: Simplify right side
    186,051.25x = 166,109,025,442.56
  5. Step 5: Solve for x
    x = 166,109,025,442.56/186,051.25
  6. Step 6: Final answer
    x = 892,813.27

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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.