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Finding the Third Proportional to 159,795 and 349,655

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Solution

The third proportional to 159,795 and 349,655 is: 765,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,795 : 349,655 = 349,655 : x
  2. Step 2: Convert to fraction form
    159,795/349,655 = 349,655/x
  3. Step 3: Cross multiply
    159,795x = 349,655 × 349,655
  4. Step 4: Simplify right side
    159,795x = 122,258,619,025
  5. Step 5: Solve for x
    x = 122,258,619,025/159,795
  6. Step 6: Final answer
    x = 765,096.65

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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.