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Finding the Third Proportional to 141,927 and 213,483

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Solution

The third proportional to 141,927 and 213,483 is: 321,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,927 : 213,483 = 213,483 : x
  2. Step 2: Convert to fraction form
    141,927/213,483 = 213,483/x
  3. Step 3: Cross multiply
    141,927x = 213,483 × 213,483
  4. Step 4: Simplify right side
    141,927x = 45,574,991,289
  5. Step 5: Solve for x
    x = 45,574,991,289/141,927
  6. Step 6: Final answer
    x = 321,115.72

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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.