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Finding the Third Proportional to 141,581 and 214,185

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Solution

The third proportional to 141,581 and 214,185 is: 324,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,581 : 214,185 = 214,185 : x
  2. Step 2: Convert to fraction form
    141,581/214,185 = 214,185/x
  3. Step 3: Cross multiply
    141,581x = 214,185 × 214,185
  4. Step 4: Simplify right side
    141,581x = 45,875,214,225
  5. Step 5: Solve for x
    x = 45,875,214,225/141,581
  6. Step 6: Final answer
    x = 324,020.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.