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Finding the Third Proportional to 214,500.75 and 321,337.13

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Solution

The third proportional to 214,500.75 and 321,337.13 is: 481,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,500.75 : 321,337.13 = 321,337.13 : x
  2. Step 2: Convert to fraction form
    214,500.75/321,337.13 = 321,337.13/x
  3. Step 3: Cross multiply
    214,500.75x = 321,337.13 × 321,337.13
  4. Step 4: Simplify right side
    214,500.75x = 103,257,547,903.27
  5. Step 5: Solve for x
    x = 103,257,547,903.27/214,500.75
  6. Step 6: Final answer
    x = 481,385.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.