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Finding the Third Proportional to 159,462 and 335,448

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Solution

The third proportional to 159,462 and 335,448 is: 705,656.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,462 : 335,448 = 335,448 : x
  2. Step 2: Convert to fraction form
    159,462/335,448 = 335,448/x
  3. Step 3: Cross multiply
    159,462x = 335,448 × 335,448
  4. Step 4: Simplify right side
    159,462x = 112,525,360,704
  5. Step 5: Solve for x
    x = 112,525,360,704/159,462
  6. Step 6: Final answer
    x = 705,656.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.