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Finding the Third Proportional to 148,179 and 211,745

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Solution

The third proportional to 148,179 and 211,745 is: 302,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,179 : 211,745 = 211,745 : x
  2. Step 2: Convert to fraction form
    148,179/211,745 = 211,745/x
  3. Step 3: Cross multiply
    148,179x = 211,745 × 211,745
  4. Step 4: Simplify right side
    148,179x = 44,835,945,025
  5. Step 5: Solve for x
    x = 44,835,945,025/148,179
  6. Step 6: Final answer
    x = 302,579.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.