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Finding the Third Proportional to 165,025.13 and 247,902.19

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Solution

The third proportional to 165,025.13 and 247,902.19 is: 372,400.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,025.13 : 247,902.19 = 247,902.19 : x
  2. Step 2: Convert to fraction form
    165,025.13/247,902.19 = 247,902.19/x
  3. Step 3: Cross multiply
    165,025.13x = 247,902.19 × 247,902.19
  4. Step 4: Simplify right side
    165,025.13x = 61,455,494,567.29
  5. Step 5: Solve for x
    x = 61,455,494,567.29/165,025.13
  6. Step 6: Final answer
    x = 372,400.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.