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Finding the Third Proportional to 168,496.50 and 360,685.50

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Solution

The third proportional to 168,496.50 and 360,685.50 is: 772,087.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,496.50 : 360,685.50 = 360,685.50 : x
  2. Step 2: Convert to fraction form
    168,496.50/360,685.50 = 360,685.50/x
  3. Step 3: Cross multiply
    168,496.50x = 360,685.50 × 360,685.50
  4. Step 4: Simplify right side
    168,496.50x = 130,094,029,910.25
  5. Step 5: Solve for x
    x = 130,094,029,910.25/168,496.50
  6. Step 6: Final answer
    x = 772,087.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.