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Finding the Third Proportional to 141,562.69 and 217,674.84

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Solution

The third proportional to 141,562.69 and 217,674.84 is: 334,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,562.69 : 217,674.84 = 217,674.84 : x
  2. Step 2: Convert to fraction form
    141,562.69/217,674.84 = 217,674.84/x
  3. Step 3: Cross multiply
    141,562.69x = 217,674.84 × 217,674.84
  4. Step 4: Simplify right side
    141,562.69x = 47,382,337,601.59
  5. Step 5: Solve for x
    x = 47,382,337,601.59/141,562.69
  6. Step 6: Final answer
    x = 334,709.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.