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Finding the Third Proportional to 149,266 and 219,526

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Solution

The third proportional to 149,266 and 219,526 is: 322,857.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,266 : 219,526 = 219,526 : x
  2. Step 2: Convert to fraction form
    149,266/219,526 = 219,526/x
  3. Step 3: Cross multiply
    149,266x = 219,526 × 219,526
  4. Step 4: Simplify right side
    149,266x = 48,191,664,676
  5. Step 5: Solve for x
    x = 48,191,664,676/149,266
  6. Step 6: Final answer
    x = 322,857.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.