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Finding the Third Proportional to 141,922.13 and 213,478.88

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Solution

The third proportional to 141,922.13 and 213,478.88 is: 321,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,922.13 : 213,478.88 = 213,478.88 : x
  2. Step 2: Convert to fraction form
    141,922.13/213,478.88 = 213,478.88/x
  3. Step 3: Cross multiply
    141,922.13x = 213,478.88 × 213,478.88
  4. Step 4: Simplify right side
    141,922.13x = 45,573,230,071.27
  5. Step 5: Solve for x
    x = 45,573,230,071.27/141,922.13
  6. Step 6: Final answer
    x = 321,114.34

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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.