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Finding the Third Proportional to 187,017 and 269,452.50

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Solution

The third proportional to 187,017 and 269,452.50 is: 388,224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,017 : 269,452.50 = 269,452.50 : x
  2. Step 2: Convert to fraction form
    187,017/269,452.50 = 269,452.50/x
  3. Step 3: Cross multiply
    187,017x = 269,452.50 × 269,452.50
  4. Step 4: Simplify right side
    187,017x = 72,604,649,756.25
  5. Step 5: Solve for x
    x = 72,604,649,756.25/187,017
  6. Step 6: Final answer
    x = 388,224.87

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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.