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Finding the Third Proportional to 269,200 and 418,024

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Solution

The third proportional to 269,200 and 418,024 is: 649,123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,200 : 418,024 = 418,024 : x
  2. Step 2: Convert to fraction form
    269,200/418,024 = 418,024/x
  3. Step 3: Cross multiply
    269,200x = 418,024 × 418,024
  4. Step 4: Simplify right side
    269,200x = 174,744,064,576
  5. Step 5: Solve for x
    x = 174,744,064,576/269,200
  6. Step 6: Final answer
    x = 649,123.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.