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Finding the Third Proportional to 190,872 and 431,232

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Solution

The third proportional to 190,872 and 431,232 is: 974,270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,872 : 431,232 = 431,232 : x
  2. Step 2: Convert to fraction form
    190,872/431,232 = 431,232/x
  3. Step 3: Cross multiply
    190,872x = 431,232 × 431,232
  4. Step 4: Simplify right side
    190,872x = 185,961,037,824
  5. Step 5: Solve for x
    x = 185,961,037,824/190,872
  6. Step 6: Final answer
    x = 974,270.91

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.