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Finding the Third Proportional to 143,026 and 214,263

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Solution

The third proportional to 143,026 and 214,263 is: 320,981.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,026 : 214,263 = 214,263 : x
  2. Step 2: Convert to fraction form
    143,026/214,263 = 214,263/x
  3. Step 3: Cross multiply
    143,026x = 214,263 × 214,263
  4. Step 4: Simplify right side
    143,026x = 45,908,633,169
  5. Step 5: Solve for x
    x = 45,908,633,169/143,026
  6. Step 6: Final answer
    x = 320,981.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.