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Finding the Third Proportional to 159,795 and 349,659

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Solution

The third proportional to 159,795 and 349,659 is: 765,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,795 : 349,659 = 349,659 : x
  2. Step 2: Convert to fraction form
    159,795/349,659 = 349,659/x
  3. Step 3: Cross multiply
    159,795x = 349,659 × 349,659
  4. Step 4: Simplify right side
    159,795x = 122,261,416,281
  5. Step 5: Solve for x
    x = 122,261,416,281/159,795
  6. Step 6: Final answer
    x = 765,114.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.