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Finding the Third Proportional to 220,466.81 and 322,197.75

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Solution

The third proportional to 220,466.81 and 322,197.75 is: 470,870.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,466.81 : 322,197.75 = 322,197.75 : x
  2. Step 2: Convert to fraction form
    220,466.81/322,197.75 = 322,197.75/x
  3. Step 3: Cross multiply
    220,466.81x = 322,197.75 × 322,197.75
  4. Step 4: Simplify right side
    220,466.81x = 103,811,390,105.06
  5. Step 5: Solve for x
    x = 103,811,390,105.06/220,466.81
  6. Step 6: Final answer
    x = 470,870.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.