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Finding the Third Proportional to 177,772 and 293,622

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Solution

The third proportional to 177,772 and 293,622 is: 484,968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,772 : 293,622 = 293,622 : x
  2. Step 2: Convert to fraction form
    177,772/293,622 = 293,622/x
  3. Step 3: Cross multiply
    177,772x = 293,622 × 293,622
  4. Step 4: Simplify right side
    177,772x = 86,213,878,884
  5. Step 5: Solve for x
    x = 86,213,878,884/177,772
  6. Step 6: Final answer
    x = 484,968.83

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.