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Finding the Third Proportional to 187,269 and 412,713

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Solution

The third proportional to 187,269 and 412,713 is: 909,558.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,269 : 412,713 = 412,713 : x
  2. Step 2: Convert to fraction form
    187,269/412,713 = 412,713/x
  3. Step 3: Cross multiply
    187,269x = 412,713 × 412,713
  4. Step 4: Simplify right side
    187,269x = 170,332,020,369
  5. Step 5: Solve for x
    x = 170,332,020,369/187,269
  6. Step 6: Final answer
    x = 909,558.02

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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.