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Finding the Third Proportional to 152,825 and 335,904

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Solution

The third proportional to 152,825 and 335,904 is: 738,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,825 : 335,904 = 335,904 : x
  2. Step 2: Convert to fraction form
    152,825/335,904 = 335,904/x
  3. Step 3: Cross multiply
    152,825x = 335,904 × 335,904
  4. Step 4: Simplify right side
    152,825x = 112,831,497,216
  5. Step 5: Solve for x
    x = 112,831,497,216/152,825
  6. Step 6: Final answer
    x = 738,305.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.