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Finding the Third Proportional to 181,441.25 and 282,098

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Solution

The third proportional to 181,441.25 and 282,098 is: 438,595.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,441.25 : 282,098 = 282,098 : x
  2. Step 2: Convert to fraction form
    181,441.25/282,098 = 282,098/x
  3. Step 3: Cross multiply
    181,441.25x = 282,098 × 282,098
  4. Step 4: Simplify right side
    181,441.25x = 79,579,281,604
  5. Step 5: Solve for x
    x = 79,579,281,604/181,441.25
  6. Step 6: Final answer
    x = 438,595.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.