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Finding the Third Proportional to 141,698 and 217,011

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Solution

The third proportional to 141,698 and 217,011 is: 332,353.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,698 : 217,011 = 217,011 : x
  2. Step 2: Convert to fraction form
    141,698/217,011 = 217,011/x
  3. Step 3: Cross multiply
    141,698x = 217,011 × 217,011
  4. Step 4: Simplify right side
    141,698x = 47,093,774,121
  5. Step 5: Solve for x
    x = 47,093,774,121/141,698
  6. Step 6: Final answer
    x = 332,353.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.