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Finding the Third Proportional to 182,294.25 and 285,314.63

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Solution

The third proportional to 182,294.25 and 285,314.63 is: 446,555.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,294.25 : 285,314.63 = 285,314.63 : x
  2. Step 2: Convert to fraction form
    182,294.25/285,314.63 = 285,314.63/x
  3. Step 3: Cross multiply
    182,294.25x = 285,314.63 × 285,314.63
  4. Step 4: Simplify right side
    182,294.25x = 81,404,435,238.89
  5. Step 5: Solve for x
    x = 81,404,435,238.89/182,294.25
  6. Step 6: Final answer
    x = 446,555.14

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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.