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Finding the Third Proportional to 168,584.63 and 261,019.13

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Solution

The third proportional to 168,584.63 and 261,019.13 is: 404,135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,584.63 : 261,019.13 = 261,019.13 : x
  2. Step 2: Convert to fraction form
    168,584.63/261,019.13 = 261,019.13/x
  3. Step 3: Cross multiply
    168,584.63x = 261,019.13 × 261,019.13
  4. Step 4: Simplify right side
    168,584.63x = 68,130,983,615.77
  5. Step 5: Solve for x
    x = 68,130,983,615.77/168,584.63
  6. Step 6: Final answer
    x = 404,135.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.