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Finding the Third Proportional to 202,586 and 314,467

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Solution

The third proportional to 202,586 and 314,467 is: 488,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,586 : 314,467 = 314,467 : x
  2. Step 2: Convert to fraction form
    202,586/314,467 = 314,467/x
  3. Step 3: Cross multiply
    202,586x = 314,467 × 314,467
  4. Step 4: Simplify right side
    202,586x = 98,889,494,089
  5. Step 5: Solve for x
    x = 98,889,494,089/202,586
  6. Step 6: Final answer
    x = 488,135.87

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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.