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Finding the Third Proportional to 177,678.56 and 282,441.94

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Solution

The third proportional to 177,678.56 and 282,441.94 is: 448,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,678.56 : 282,441.94 = 282,441.94 : x
  2. Step 2: Convert to fraction form
    177,678.56/282,441.94 = 282,441.94/x
  3. Step 3: Cross multiply
    177,678.56x = 282,441.94 × 282,441.94
  4. Step 4: Simplify right side
    177,678.56x = 79,773,448,058.75
  5. Step 5: Solve for x
    x = 79,773,448,058.75/177,678.56
  6. Step 6: Final answer
    x = 448,976.21

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Why These Related Problems?

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