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Finding the Third Proportional to 141,642.42 and 219,322.69

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Solution

The third proportional to 141,642.42 and 219,322.69 is: 339,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,642.42 : 219,322.69 = 219,322.69 : x
  2. Step 2: Convert to fraction form
    141,642.42/219,322.69 = 219,322.69/x
  3. Step 3: Cross multiply
    141,642.42x = 219,322.69 × 219,322.69
  4. Step 4: Simplify right side
    141,642.42x = 48,102,441,252.22
  5. Step 5: Solve for x
    x = 48,102,441,252.22/141,642.42
  6. Step 6: Final answer
    x = 339,604.76

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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.