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Finding the Third Proportional to 169,568 and 358,036

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Solution

The third proportional to 169,568 and 358,036 is: 755,978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,568 : 358,036 = 358,036 : x
  2. Step 2: Convert to fraction form
    169,568/358,036 = 358,036/x
  3. Step 3: Cross multiply
    169,568x = 358,036 × 358,036
  4. Step 4: Simplify right side
    169,568x = 128,189,777,296
  5. Step 5: Solve for x
    x = 128,189,777,296/169,568
  6. Step 6: Final answer
    x = 755,978.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.