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Finding the Third Proportional to 159,121 and 347,768

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Solution

The third proportional to 159,121 and 347,768 is: 760,066.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,121 : 347,768 = 347,768 : x
  2. Step 2: Convert to fraction form
    159,121/347,768 = 347,768/x
  3. Step 3: Cross multiply
    159,121x = 347,768 × 347,768
  4. Step 4: Simplify right side
    159,121x = 120,942,581,824
  5. Step 5: Solve for x
    x = 120,942,581,824/159,121
  6. Step 6: Final answer
    x = 760,066.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.