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Finding the Third Proportional to 177,169.50 and 238,693.50

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Solution

The third proportional to 177,169.50 and 238,693.50 is: 321,582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,169.50 : 238,693.50 = 238,693.50 : x
  2. Step 2: Convert to fraction form
    177,169.50/238,693.50 = 238,693.50/x
  3. Step 3: Cross multiply
    177,169.50x = 238,693.50 × 238,693.50
  4. Step 4: Simplify right side
    177,169.50x = 56,974,586,942.25
  5. Step 5: Solve for x
    x = 56,974,586,942.25/177,169.50
  6. Step 6: Final answer
    x = 321,582.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.