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Finding the Third Proportional to 177,722 and 375,424

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Solution

The third proportional to 177,722 and 375,424 is: 793,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,722 : 375,424 = 375,424 : x
  2. Step 2: Convert to fraction form
    177,722/375,424 = 375,424/x
  3. Step 3: Cross multiply
    177,722x = 375,424 × 375,424
  4. Step 4: Simplify right side
    177,722x = 140,943,179,776
  5. Step 5: Solve for x
    x = 140,943,179,776/177,722
  6. Step 6: Final answer
    x = 793,054.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.