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Finding the Third Proportional to 210,968.50 and 281,818.50

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Solution

The third proportional to 210,968.50 and 281,818.50 is: 376,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,968.50 : 281,818.50 = 281,818.50 : x
  2. Step 2: Convert to fraction form
    210,968.50/281,818.50 = 281,818.50/x
  3. Step 3: Cross multiply
    210,968.50x = 281,818.50 × 281,818.50
  4. Step 4: Simplify right side
    210,968.50x = 79,421,666,942.25
  5. Step 5: Solve for x
    x = 79,421,666,942.25/210,968.50
  6. Step 6: Final answer
    x = 376,462.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.