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Finding the Third Proportional to 168,460.88 and 224,260.31

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Solution

The third proportional to 168,460.88 and 224,260.31 is: 298,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,460.88 : 224,260.31 = 224,260.31 : x
  2. Step 2: Convert to fraction form
    168,460.88/224,260.31 = 224,260.31/x
  3. Step 3: Cross multiply
    168,460.88x = 224,260.31 × 224,260.31
  4. Step 4: Simplify right side
    168,460.88x = 50,292,687,762.60
  5. Step 5: Solve for x
    x = 50,292,687,762.60/168,460.88
  6. Step 6: Final answer
    x = 298,542.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.