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Finding the Third Proportional to 159,444 and 335,412

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Solution

The third proportional to 159,444 and 335,412 is: 705,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,444 : 335,412 = 335,412 : x
  2. Step 2: Convert to fraction form
    159,444/335,412 = 335,412/x
  3. Step 3: Cross multiply
    159,444x = 335,412 × 335,412
  4. Step 4: Simplify right side
    159,444x = 112,501,209,744
  5. Step 5: Solve for x
    x = 112,501,209,744/159,444
  6. Step 6: Final answer
    x = 705,584.47

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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.