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Finding the Third Proportional to 187,962 and 413,142

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Solution

The third proportional to 187,962 and 413,142 is: 908,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,962 : 413,142 = 413,142 : x
  2. Step 2: Convert to fraction form
    187,962/413,142 = 413,142/x
  3. Step 3: Cross multiply
    187,962x = 413,142 × 413,142
  4. Step 4: Simplify right side
    187,962x = 170,686,312,164
  5. Step 5: Solve for x
    x = 170,686,312,164/187,962
  6. Step 6: Final answer
    x = 908,089.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.