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Finding the Third Proportional to 168,160 and 361,106

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Solution

The third proportional to 168,160 and 361,106 is: 775,437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,160 : 361,106 = 361,106 : x
  2. Step 2: Convert to fraction form
    168,160/361,106 = 361,106/x
  3. Step 3: Cross multiply
    168,160x = 361,106 × 361,106
  4. Step 4: Simplify right side
    168,160x = 130,397,543,236
  5. Step 5: Solve for x
    x = 130,397,543,236/168,160
  6. Step 6: Final answer
    x = 775,437.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.