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Finding the Third Proportional to 225,729.50 and 470,143

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Solution

The third proportional to 225,729.50 and 470,143 is: 979,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,729.50 : 470,143 = 470,143 : x
  2. Step 2: Convert to fraction form
    225,729.50/470,143 = 470,143/x
  3. Step 3: Cross multiply
    225,729.50x = 470,143 × 470,143
  4. Step 4: Simplify right side
    225,729.50x = 221,034,440,449
  5. Step 5: Solve for x
    x = 221,034,440,449/225,729.50
  6. Step 6: Final answer
    x = 979,200.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.