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Finding the Third Proportional to 168,763.50 and 261,654.05

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Solution

The third proportional to 168,763.50 and 261,654.05 is: 405,673.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,763.50 : 261,654.05 = 261,654.05 : x
  2. Step 2: Convert to fraction form
    168,763.50/261,654.05 = 261,654.05/x
  3. Step 3: Cross multiply
    168,763.50x = 261,654.05 × 261,654.05
  4. Step 4: Simplify right side
    168,763.50x = 68,462,840,246.06
  5. Step 5: Solve for x
    x = 68,462,840,246.06/168,763.50
  6. Step 6: Final answer
    x = 405,673.27

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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.