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Finding the Third Proportional to 200,060 and 309,676

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Solution

The third proportional to 200,060 and 309,676 is: 479,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,060 : 309,676 = 309,676 : x
  2. Step 2: Convert to fraction form
    200,060/309,676 = 309,676/x
  3. Step 3: Cross multiply
    200,060x = 309,676 × 309,676
  4. Step 4: Simplify right side
    200,060x = 95,899,224,976
  5. Step 5: Solve for x
    x = 95,899,224,976/200,060
  6. Step 6: Final answer
    x = 479,352.32

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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.