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Finding the Third Proportional to 177,386.50 and 255,005

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Solution

The third proportional to 177,386.50 and 255,005 is: 366,586.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,386.50 : 255,005 = 255,005 : x
  2. Step 2: Convert to fraction form
    177,386.50/255,005 = 255,005/x
  3. Step 3: Cross multiply
    177,386.50x = 255,005 × 255,005
  4. Step 4: Simplify right side
    177,386.50x = 65,027,550,025
  5. Step 5: Solve for x
    x = 65,027,550,025/177,386.50
  6. Step 6: Final answer
    x = 366,586.80

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.