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Finding the Third Proportional to 214,102.50 and 470,571

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Solution

The third proportional to 214,102.50 and 470,571 is: 1,034,257.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,102.50 : 470,571 = 470,571 : x
  2. Step 2: Convert to fraction form
    214,102.50/470,571 = 470,571/x
  3. Step 3: Cross multiply
    214,102.50x = 470,571 × 470,571
  4. Step 4: Simplify right side
    214,102.50x = 221,437,066,041
  5. Step 5: Solve for x
    x = 221,437,066,041/214,102.50
  6. Step 6: Final answer
    x = 1,034,257.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.