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Finding the Third Proportional to 168,649.50 and 252,062.25

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Solution

The third proportional to 168,649.50 and 252,062.25 is: 376,730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,649.50 : 252,062.25 = 252,062.25 : x
  2. Step 2: Convert to fraction form
    168,649.50/252,062.25 = 252,062.25/x
  3. Step 3: Cross multiply
    168,649.50x = 252,062.25 × 252,062.25
  4. Step 4: Simplify right side
    168,649.50x = 63,535,377,875.06
  5. Step 5: Solve for x
    x = 63,535,377,875.06/168,649.50
  6. Step 6: Final answer
    x = 376,730.31

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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.