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Finding the Third Proportional to 208,618 and 313,898

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Solution

The third proportional to 208,618 and 313,898 is: 472,308.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,618 : 313,898 = 313,898 : x
  2. Step 2: Convert to fraction form
    208,618/313,898 = 313,898/x
  3. Step 3: Cross multiply
    208,618x = 313,898 × 313,898
  4. Step 4: Simplify right side
    208,618x = 98,531,954,404
  5. Step 5: Solve for x
    x = 98,531,954,404/208,618
  6. Step 6: Final answer
    x = 472,308.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.