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Finding the Third Proportional to 187,270 and 409,576

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Solution

The third proportional to 187,270 and 409,576 is: 895,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,270 : 409,576 = 409,576 : x
  2. Step 2: Convert to fraction form
    187,270/409,576 = 409,576/x
  3. Step 3: Cross multiply
    187,270x = 409,576 × 409,576
  4. Step 4: Simplify right side
    187,270x = 167,752,499,776
  5. Step 5: Solve for x
    x = 167,752,499,776/187,270
  6. Step 6: Final answer
    x = 895,778.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.