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Finding the Third Proportional to 165,145.50 and 366,565.50

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Solution

The third proportional to 165,145.50 and 366,565.50 is: 813,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,145.50 : 366,565.50 = 366,565.50 : x
  2. Step 2: Convert to fraction form
    165,145.50/366,565.50 = 366,565.50/x
  3. Step 3: Cross multiply
    165,145.50x = 366,565.50 × 366,565.50
  4. Step 4: Simplify right side
    165,145.50x = 134,370,265,790.25
  5. Step 5: Solve for x
    x = 134,370,265,790.25/165,145.50
  6. Step 6: Final answer
    x = 813,647.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.