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Finding the Third Proportional to 159,008 and 336,412

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Solution

The third proportional to 159,008 and 336,412 is: 711,744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,008 : 336,412 = 336,412 : x
  2. Step 2: Convert to fraction form
    159,008/336,412 = 336,412/x
  3. Step 3: Cross multiply
    159,008x = 336,412 × 336,412
  4. Step 4: Simplify right side
    159,008x = 113,173,033,744
  5. Step 5: Solve for x
    x = 113,173,033,744/159,008
  6. Step 6: Final answer
    x = 711,744.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.