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Finding the Third Proportional to 227,683.13 and 328,932

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Solution

The third proportional to 227,683.13 and 328,932 is: 475,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,683.13 : 328,932 = 328,932 : x
  2. Step 2: Convert to fraction form
    227,683.13/328,932 = 328,932/x
  3. Step 3: Cross multiply
    227,683.13x = 328,932 × 328,932
  4. Step 4: Simplify right side
    227,683.13x = 108,196,260,624
  5. Step 5: Solve for x
    x = 108,196,260,624/227,683.13
  6. Step 6: Final answer
    x = 475,205.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.