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Finding the Third Proportional to 163,674 and 246,120.75

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Solution

The third proportional to 163,674 and 246,120.75 is: 370,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,674 : 246,120.75 = 246,120.75 : x
  2. Step 2: Convert to fraction form
    163,674/246,120.75 = 246,120.75/x
  3. Step 3: Cross multiply
    163,674x = 246,120.75 × 246,120.75
  4. Step 4: Simplify right side
    163,674x = 60,575,423,580.56
  5. Step 5: Solve for x
    x = 60,575,423,580.56/163,674
  6. Step 6: Final answer
    x = 370,098.02

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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.