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Finding the Third Proportional to 162,463.50 and 285,250.50

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Solution

The third proportional to 162,463.50 and 285,250.50 is: 500,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,463.50 : 285,250.50 = 285,250.50 : x
  2. Step 2: Convert to fraction form
    162,463.50/285,250.50 = 285,250.50/x
  3. Step 3: Cross multiply
    162,463.50x = 285,250.50 × 285,250.50
  4. Step 4: Simplify right side
    162,463.50x = 81,367,847,750.25
  5. Step 5: Solve for x
    x = 81,367,847,750.25/162,463.50
  6. Step 6: Final answer
    x = 500,837.71

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.