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Finding the Third Proportional to 175,461.19 and 244,469.81

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Solution

The third proportional to 175,461.19 and 244,469.81 is: 340,619.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,461.19 : 244,469.81 = 244,469.81 : x
  2. Step 2: Convert to fraction form
    175,461.19/244,469.81 = 244,469.81/x
  3. Step 3: Cross multiply
    175,461.19x = 244,469.81 × 244,469.81
  4. Step 4: Simplify right side
    175,461.19x = 59,765,489,223.79
  5. Step 5: Solve for x
    x = 59,765,489,223.79/175,461.19
  6. Step 6: Final answer
    x = 340,619.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.