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Finding the Third Proportional to 212,031.75 and 327,894

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Solution

The third proportional to 212,031.75 and 327,894 is: 507,067.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,031.75 : 327,894 = 327,894 : x
  2. Step 2: Convert to fraction form
    212,031.75/327,894 = 327,894/x
  3. Step 3: Cross multiply
    212,031.75x = 327,894 × 327,894
  4. Step 4: Simplify right side
    212,031.75x = 107,514,475,236
  5. Step 5: Solve for x
    x = 107,514,475,236/212,031.75
  6. Step 6: Final answer
    x = 507,067.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.