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Finding the Third Proportional to 208,648 and 313,017

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Solution

The third proportional to 208,648 and 313,017 is: 469,593.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,648 : 313,017 = 313,017 : x
  2. Step 2: Convert to fraction form
    208,648/313,017 = 313,017/x
  3. Step 3: Cross multiply
    208,648x = 313,017 × 313,017
  4. Step 4: Simplify right side
    208,648x = 97,979,642,289
  5. Step 5: Solve for x
    x = 97,979,642,289/208,648
  6. Step 6: Final answer
    x = 469,593.01

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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.