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Finding the Third Proportional to 182,922.05 and 287,351.30

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Solution

The third proportional to 182,922.05 and 287,351.30 is: 451,398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,922.05 : 287,351.30 = 287,351.30 : x
  2. Step 2: Convert to fraction form
    182,922.05/287,351.30 = 287,351.30/x
  3. Step 3: Cross multiply
    182,922.05x = 287,351.30 × 287,351.30
  4. Step 4: Simplify right side
    182,922.05x = 82,570,767,815.74
  5. Step 5: Solve for x
    x = 82,570,767,815.74/182,922.05
  6. Step 6: Final answer
    x = 451,398.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.