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Finding the Third Proportional to 161,470 and 231,131

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Solution

The third proportional to 161,470 and 231,131 is: 330,844.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,470 : 231,131 = 231,131 : x
  2. Step 2: Convert to fraction form
    161,470/231,131 = 231,131/x
  3. Step 3: Cross multiply
    161,470x = 231,131 × 231,131
  4. Step 4: Simplify right side
    161,470x = 53,421,539,161
  5. Step 5: Solve for x
    x = 53,421,539,161/161,470
  6. Step 6: Final answer
    x = 330,844.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.