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Finding the Third Proportional to 182,285 and 285,374.50

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Solution

The third proportional to 182,285 and 285,374.50 is: 446,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,285 : 285,374.50 = 285,374.50 : x
  2. Step 2: Convert to fraction form
    182,285/285,374.50 = 285,374.50/x
  3. Step 3: Cross multiply
    182,285x = 285,374.50 × 285,374.50
  4. Step 4: Simplify right side
    182,285x = 81,438,605,250.25
  5. Step 5: Solve for x
    x = 81,438,605,250.25/182,285
  6. Step 6: Final answer
    x = 446,765.26

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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.