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Finding the Third Proportional to 186,051.75 and 407,565.75

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Solution

The third proportional to 186,051.75 and 407,565.75 is: 892,815.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,051.75 : 407,565.75 = 407,565.75 : x
  2. Step 2: Convert to fraction form
    186,051.75/407,565.75 = 407,565.75/x
  3. Step 3: Cross multiply
    186,051.75x = 407,565.75 × 407,565.75
  4. Step 4: Simplify right side
    186,051.75x = 166,109,840,573.06
  5. Step 5: Solve for x
    x = 166,109,840,573.06/186,051.75
  6. Step 6: Final answer
    x = 892,815.25

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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.