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Finding the Third Proportional to 182,756.25 and 282,431.81

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Solution

The third proportional to 182,756.25 and 282,431.81 is: 436,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,756.25 : 282,431.81 = 282,431.81 : x
  2. Step 2: Convert to fraction form
    182,756.25/282,431.81 = 282,431.81/x
  3. Step 3: Cross multiply
    182,756.25x = 282,431.81 × 282,431.81
  4. Step 4: Simplify right side
    182,756.25x = 79,767,728,712.04
  5. Step 5: Solve for x
    x = 79,767,728,712.04/182,756.25
  6. Step 6: Final answer
    x = 436,470.59

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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.