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Finding the Third Proportional to 207,894 and 334,809

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Solution

The third proportional to 207,894 and 334,809 is: 539,202.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,894 : 334,809 = 334,809 : x
  2. Step 2: Convert to fraction form
    207,894/334,809 = 334,809/x
  3. Step 3: Cross multiply
    207,894x = 334,809 × 334,809
  4. Step 4: Simplify right side
    207,894x = 112,097,066,481
  5. Step 5: Solve for x
    x = 112,097,066,481/207,894
  6. Step 6: Final answer
    x = 539,202.99

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.