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Finding the Third Proportional to 218,563.33 and 470,341.73

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Solution

The third proportional to 218,563.33 and 470,341.73 is: 1,012,161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,563.33 : 470,341.73 = 470,341.73 : x
  2. Step 2: Convert to fraction form
    218,563.33/470,341.73 = 470,341.73/x
  3. Step 3: Cross multiply
    218,563.33x = 470,341.73 × 470,341.73
  4. Step 4: Simplify right side
    218,563.33x = 221,221,344,855.73
  5. Step 5: Solve for x
    x = 221,221,344,855.73/218,563.33
  6. Step 6: Final answer
    x = 1,012,161.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.