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Finding the Third Proportional to 210,406 and 295,951

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Solution

The third proportional to 210,406 and 295,951 is: 416,276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,406 : 295,951 = 295,951 : x
  2. Step 2: Convert to fraction form
    210,406/295,951 = 295,951/x
  3. Step 3: Cross multiply
    210,406x = 295,951 × 295,951
  4. Step 4: Simplify right side
    210,406x = 87,586,994,401
  5. Step 5: Solve for x
    x = 87,586,994,401/210,406
  6. Step 6: Final answer
    x = 416,276.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.