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Finding the Third Proportional to 207,910 and 333,598

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Solution

The third proportional to 207,910 and 333,598 is: 535,268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,910 : 333,598 = 333,598 : x
  2. Step 2: Convert to fraction form
    207,910/333,598 = 333,598/x
  3. Step 3: Cross multiply
    207,910x = 333,598 × 333,598
  4. Step 4: Simplify right side
    207,910x = 111,287,625,604
  5. Step 5: Solve for x
    x = 111,287,625,604/207,910
  6. Step 6: Final answer
    x = 535,268.27

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.