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Finding the Third Proportional to 177,633 and 268,292.25

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Solution

The third proportional to 177,633 and 268,292.25 is: 405,221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,633 : 268,292.25 = 268,292.25 : x
  2. Step 2: Convert to fraction form
    177,633/268,292.25 = 268,292.25/x
  3. Step 3: Cross multiply
    177,633x = 268,292.25 × 268,292.25
  4. Step 4: Simplify right side
    177,633x = 71,980,731,410.06
  5. Step 5: Solve for x
    x = 71,980,731,410.06/177,633
  6. Step 6: Final answer
    x = 405,221.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.