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Finding the Third Proportional to 177,330.94 and 282,305.44

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Solution

The third proportional to 177,330.94 and 282,305.44 is: 449,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,330.94 : 282,305.44 = 282,305.44 : x
  2. Step 2: Convert to fraction form
    177,330.94/282,305.44 = 282,305.44/x
  3. Step 3: Cross multiply
    177,330.94x = 282,305.44 × 282,305.44
  4. Step 4: Simplify right side
    177,330.94x = 79,696,360,042.07
  5. Step 5: Solve for x
    x = 79,696,360,042.07/177,330.94
  6. Step 6: Final answer
    x = 449,421.64

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.