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Finding the Third Proportional to 136,242 and 329,670

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Solution

The third proportional to 136,242 and 329,670 is: 797,715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,242 : 329,670 = 329,670 : x
  2. Step 2: Convert to fraction form
    136,242/329,670 = 329,670/x
  3. Step 3: Cross multiply
    136,242x = 329,670 × 329,670
  4. Step 4: Simplify right side
    136,242x = 108,682,308,900
  5. Step 5: Solve for x
    x = 108,682,308,900/136,242
  6. Step 6: Final answer
    x = 797,715.16

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.