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Finding the Third Proportional to 190,169 and 413,174

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Solution

The third proportional to 190,169 and 413,174 is: 897,689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,169 : 413,174 = 413,174 : x
  2. Step 2: Convert to fraction form
    190,169/413,174 = 413,174/x
  3. Step 3: Cross multiply
    190,169x = 413,174 × 413,174
  4. Step 4: Simplify right side
    190,169x = 170,712,754,276
  5. Step 5: Solve for x
    x = 170,712,754,276/190,169
  6. Step 6: Final answer
    x = 897,689.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.