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Finding the Third Proportional to 165,280.50 and 245,490.75

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Solution

The third proportional to 165,280.50 and 245,490.75 is: 364,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,280.50 : 245,490.75 = 245,490.75 : x
  2. Step 2: Convert to fraction form
    165,280.50/245,490.75 = 245,490.75/x
  3. Step 3: Cross multiply
    165,280.50x = 245,490.75 × 245,490.75
  4. Step 4: Simplify right side
    165,280.50x = 60,265,708,335.56
  5. Step 5: Solve for x
    x = 60,265,708,335.56/165,280.50
  6. Step 6: Final answer
    x = 364,626.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.