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Finding the Third Proportional to 168,052.50 and 351,684

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Solution

The third proportional to 168,052.50 and 351,684 is: 735,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,052.50 : 351,684 = 351,684 : x
  2. Step 2: Convert to fraction form
    168,052.50/351,684 = 351,684/x
  3. Step 3: Cross multiply
    168,052.50x = 351,684 × 351,684
  4. Step 4: Simplify right side
    168,052.50x = 123,681,635,856
  5. Step 5: Solve for x
    x = 123,681,635,856/168,052.50
  6. Step 6: Final answer
    x = 735,970.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.