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Finding the Third Proportional to 164,581 and 220,215

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Solution

The third proportional to 164,581 and 220,215 is: 294,655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,581 : 220,215 = 220,215 : x
  2. Step 2: Convert to fraction form
    164,581/220,215 = 220,215/x
  3. Step 3: Cross multiply
    164,581x = 220,215 × 220,215
  4. Step 4: Simplify right side
    164,581x = 48,494,646,225
  5. Step 5: Solve for x
    x = 48,494,646,225/164,581
  6. Step 6: Final answer
    x = 294,655.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.