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Finding the Third Proportional to 214,098 and 281,596.50

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Solution

The third proportional to 214,098 and 281,596.50 is: 370,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,098 : 281,596.50 = 281,596.50 : x
  2. Step 2: Convert to fraction form
    214,098/281,596.50 = 281,596.50/x
  3. Step 3: Cross multiply
    214,098x = 281,596.50 × 281,596.50
  4. Step 4: Simplify right side
    214,098x = 79,296,588,812.25
  5. Step 5: Solve for x
    x = 79,296,588,812.25/214,098
  6. Step 6: Final answer
    x = 370,375.20

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.