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Finding the Third Proportional to 208,014 and 313,491

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Solution

The third proportional to 208,014 and 313,491 is: 472,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,014 : 313,491 = 313,491 : x
  2. Step 2: Convert to fraction form
    208,014/313,491 = 313,491/x
  3. Step 3: Cross multiply
    208,014x = 313,491 × 313,491
  4. Step 4: Simplify right side
    208,014x = 98,276,607,081
  5. Step 5: Solve for x
    x = 98,276,607,081/208,014
  6. Step 6: Final answer
    x = 472,451.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.