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Finding the Third Proportional to 169,576 and 361,672

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Solution

The third proportional to 169,576 and 361,672 is: 771,374.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,576 : 361,672 = 361,672 : x
  2. Step 2: Convert to fraction form
    169,576/361,672 = 361,672/x
  3. Step 3: Cross multiply
    169,576x = 361,672 × 361,672
  4. Step 4: Simplify right side
    169,576x = 130,806,635,584
  5. Step 5: Solve for x
    x = 130,806,635,584/169,576
  6. Step 6: Final answer
    x = 771,374.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.