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Finding the Third Proportional to 173,028 and 221,100

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Solution

The third proportional to 173,028 and 221,100 is: 282,527.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,028 : 221,100 = 221,100 : x
  2. Step 2: Convert to fraction form
    173,028/221,100 = 221,100/x
  3. Step 3: Cross multiply
    173,028x = 221,100 × 221,100
  4. Step 4: Simplify right side
    173,028x = 48,885,210,000
  5. Step 5: Solve for x
    x = 48,885,210,000/173,028
  6. Step 6: Final answer
    x = 282,527.74

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.