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Finding the Third Proportional to 210,250.50 and 302,226.75

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Solution

The third proportional to 210,250.50 and 302,226.75 is: 434,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,250.50 : 302,226.75 = 302,226.75 : x
  2. Step 2: Convert to fraction form
    210,250.50/302,226.75 = 302,226.75/x
  3. Step 3: Cross multiply
    210,250.50x = 302,226.75 × 302,226.75
  4. Step 4: Simplify right side
    210,250.50x = 91,341,008,415.56
  5. Step 5: Solve for x
    x = 91,341,008,415.56/210,250.50
  6. Step 6: Final answer
    x = 434,438.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.