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Finding the Third Proportional to 175,654.83 and 263,001.94

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Solution

The third proportional to 175,654.83 and 263,001.94 is: 393,783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,654.83 : 263,001.94 = 263,001.94 : x
  2. Step 2: Convert to fraction form
    175,654.83/263,001.94 = 263,001.94/x
  3. Step 3: Cross multiply
    175,654.83x = 263,001.94 × 263,001.94
  4. Step 4: Simplify right side
    175,654.83x = 69,170,019,128.75
  5. Step 5: Solve for x
    x = 69,170,019,128.75/175,654.83
  6. Step 6: Final answer
    x = 393,783.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.