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Finding the Third Proportional to 175,657.50 and 263,007

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Solution

The third proportional to 175,657.50 and 263,007 is: 393,792.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,657.50 : 263,007 = 263,007 : x
  2. Step 2: Convert to fraction form
    175,657.50/263,007 = 263,007/x
  3. Step 3: Cross multiply
    175,657.50x = 263,007 × 263,007
  4. Step 4: Simplify right side
    175,657.50x = 69,172,682,049
  5. Step 5: Solve for x
    x = 69,172,682,049/175,657.50
  6. Step 6: Final answer
    x = 393,792.93

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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.