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Finding the Third Proportional to 187,923.38 and 409,764.66

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Solution

The third proportional to 187,923.38 and 409,764.66 is: 893,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,923.38 : 409,764.66 = 409,764.66 : x
  2. Step 2: Convert to fraction form
    187,923.38/409,764.66 = 409,764.66/x
  3. Step 3: Cross multiply
    187,923.38x = 409,764.66 × 409,764.66
  4. Step 4: Simplify right side
    187,923.38x = 167,907,073,511.68
  5. Step 5: Solve for x
    x = 167,907,073,511.68/187,923.38
  6. Step 6: Final answer
    x = 893,486.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.