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Finding the Third Proportional to 159,446 and 335,416

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Solution

The third proportional to 159,446 and 335,416 is: 705,592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,446 : 335,416 = 335,416 : x
  2. Step 2: Convert to fraction form
    159,446/335,416 = 335,416/x
  3. Step 3: Cross multiply
    159,446x = 335,416 × 335,416
  4. Step 4: Simplify right side
    159,446x = 112,503,893,056
  5. Step 5: Solve for x
    x = 112,503,893,056/159,446
  6. Step 6: Final answer
    x = 705,592.45

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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.