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Finding the Third Proportional to 176,513.75 and 269,389.25

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Solution

The third proportional to 176,513.75 and 269,389.25 is: 411,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,513.75 : 269,389.25 = 269,389.25 : x
  2. Step 2: Convert to fraction form
    176,513.75/269,389.25 = 269,389.25/x
  3. Step 3: Cross multiply
    176,513.75x = 269,389.25 × 269,389.25
  4. Step 4: Simplify right side
    176,513.75x = 72,570,568,015.56
  5. Step 5: Solve for x
    x = 72,570,568,015.56/176,513.75
  6. Step 6: Final answer
    x = 411,132.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.