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Finding the Third Proportional to 141,119 and 216,174

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Solution

The third proportional to 141,119 and 216,174 is: 331,147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,119 : 216,174 = 216,174 : x
  2. Step 2: Convert to fraction form
    141,119/216,174 = 216,174/x
  3. Step 3: Cross multiply
    141,119x = 216,174 × 216,174
  4. Step 4: Simplify right side
    141,119x = 46,731,198,276
  5. Step 5: Solve for x
    x = 46,731,198,276/141,119
  6. Step 6: Final answer
    x = 331,147.46

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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.