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Finding the Third Proportional to 361,158.75 and 540,609.19

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Solution

The third proportional to 361,158.75 and 540,609.19 is: 809,223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,158.75 : 540,609.19 = 540,609.19 : x
  2. Step 2: Convert to fraction form
    361,158.75/540,609.19 = 540,609.19/x
  3. Step 3: Cross multiply
    361,158.75x = 540,609.19 × 540,609.19
  4. Step 4: Simplify right side
    361,158.75x = 292,258,293,609.41
  5. Step 5: Solve for x
    x = 292,258,293,609.41/361,158.75
  6. Step 6: Final answer
    x = 809,223.90

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Why These Related Problems?

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