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Finding the Third Proportional to 190,180 and 296,174

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Solution

The third proportional to 190,180 and 296,174 is: 461,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,180 : 296,174 = 296,174 : x
  2. Step 2: Convert to fraction form
    190,180/296,174 = 296,174/x
  3. Step 3: Cross multiply
    190,180x = 296,174 × 296,174
  4. Step 4: Simplify right side
    190,180x = 87,719,038,276
  5. Step 5: Solve for x
    x = 87,719,038,276/190,180
  6. Step 6: Final answer
    x = 461,242.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.