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Finding the Third Proportional to 160,434 and 324,762

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Solution

The third proportional to 160,434 and 324,762 is: 657,406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,434 : 324,762 = 324,762 : x
  2. Step 2: Convert to fraction form
    160,434/324,762 = 324,762/x
  3. Step 3: Cross multiply
    160,434x = 324,762 × 324,762
  4. Step 4: Simplify right side
    160,434x = 105,470,356,644
  5. Step 5: Solve for x
    x = 105,470,356,644/160,434
  6. Step 6: Final answer
    x = 657,406.51

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.